I minimi interi esprimibili come somma di 3 cubi non nulli in esattamente n modi

La tabella seguente mostra i minimi interi esprimibili come somma di 3 cubi non nulli in esattamente n modi (Donovan Johnson, David W. Wilson, The Online Encyclopedia of Integer Sequences http://oeis.org).

n

Intero

1

3 = 13 + 13 + 13

2

251 = 13 + 53 + 53 = 23 + 33 + 63

3

5104 = 93 + 103 + 153 = 13 + 123 + 153 = 23 + 103 + 163

4

13896 = 43 + 183 + 203 = 93 + 103 + 233 = 13 + 123 + 233 = 23 + 43 + 243

5

161568 = 263 + 363 + 463 = 173 + 393 + 463 = 183 + 193 + 533 = 93 + 153 + 543 = 23 + 163 + 543

6

1296378 = 603 + 753 + 873 = 333 + 813 + 903 = 213 + 773 + 943 = 33 + 763 + 953 = 313 + 593 + 1023 = 93 + 333 + 1083

7

2016496 = 833 + 853 + 943 = 663 + 903 + 1003 = 473 + 973 + 1003 = 543 + 603 + 1183 = 63 + 723 + 1183 = 103 + 663 + 1203 = 193 + 213 + 1263

8

2562624 = 303 + 1033 + 1133 = 123 + 1003 + 1163 = 513 + 853 + 1223 = 693 + 723 + 1233 = 363 + 603 + 1323 = 83 + 643 + 1323 = 173 + 463 + 1353 = 83 + 363 + 1363

9

14926248 = 753 + 1903 + 1973 = 903 + 1863 + 1983 = 123 + 1863 + 2043 = 1063 + 1503 + 2183 = 993 + 1493 + 2203 = 513 + 1143 + 2373 = 723 + 903 + 2403 = 153 + 333 + 2463 = 23 + 343 + 2463

10

34012224 = 1733 + 2143 + 2673 = 453 + 2463 + 2673 = 1623 + 2163 + 2703 = 1023 + 2273 + 2773 = 363 + 2163 + 2883 = 1183 + 1863 + 2963 = 1003 + 1923 + 2963 = 393 + 1533 + 3123 = 723 + 1143 + 3183 = 413 + 1143 + 3193

11

69190848 = 903 + 3093 + 3393 = 363 + 3003 + 3483 = 1533 + 2553 + 3663 = 343 + 2723 + 3663 = 2073 + 2163 + 3693 = 1083 + 1803 + 3963 = 243 + 1923 + 3963 = 963 + 1793 + 3973 = 1223 + 1503 + 4003 = 513 + 1383 + 4053 = 243 + 1083 + 4083

12

150547032 = 1083 + 3993 + 4413 = 1573 + 3873 + 4463 = 2283 + 3563 + 4543 = 753 + 3813 + 4563 = 1503 + 3683 + 4603 = 2203 + 3423 + 4643 = 553 + 3683 + 4653 = 1553 + 3003 + 4933 = 893 + 3033 + 4963 = 1383 + 2013 + 5193 = 1273 + 1923 + 5213 = 303 + 1183 + 5303

13

119095488 = 2433 + 3583 + 3893 = 723 + 3843 + 3963 = 2813 + 3223 + 3993 = 2463 + 3283 + 4103 = 2263 + 3323 + 4143 = 1143 + 3603 + 4143 = 1493 + 3363 + 4273 = 2073 + 2973 + 4383 = 1903 + 2793 + 4493 = 1133 + 2643 + 4633 = 1763 + 2043 + 4723 = 243 + 2043 + 4803 = 483 + 853 + 4913

14

1204376256 = 5673 + 7983 + 8013 = 2163 + 7983 + 8823 = 3143 + 7743 + 8923 = 4563 + 7123 + 9083 = 1503 + 7623 + 9123 = 3003 + 7363 + 9203 = 4403 + 6843 + 9283 = 1103 + 7363 + 9303 = 1313 + 6883 + 9573 = 3103 + 6003 + 9863 = 1783 + 6063 + 9923 = 2763 + 4023 + 10383 = 2543 + 3843 + 10423 = 603 + 2363 + 10603

15

952763904 = 4863 + 7163 + 7783 = 1443 + 7683 + 7923 = 5623 + 6443 + 7983 = 4923 + 6563 + 8203 = 4523 + 6643 + 8283 = 2283 + 7203 + 8283 = 2983 + 6723 + 8543 = 1653 + 6803 + 8593 = 4143 + 5943 + 8763 = 3803 + 5583 + 8983 = 2813 + 5913 + 8983 = 2263 + 5283 + 9263 = 3523 + 4083 + 9443 = 483 + 4083 + 9603 = 963 + 1703 + 9823

16

1592865000 = 6803 + 8253 + 8953 = 2303 + 8553 + 9853 = 4503 + 8103 + 9903 = 4583 + 7923 + 10003 = 603 + 8103 + 10203 = 5703 + 6303 + 10503 = 4653 + 6153 + 10803 = 2283 + 6363 + 10983 = 3963 + 5703 + 11043 = 173 + 6153 + 11083 = 273 + 5843 + 11173 = 1403 + 5703 + 11203 = 3243 + 4263 + 11403 = 903 + 4803 + 11403 = 303 + 3423 + 11583 = 483 + 3033 + 11613

17

3974344704 = 9603 + 10843 + 12203 = 7923 + 10563 + 13203 = 5843 + 10803 + 13603 = 1763 + 10563 + 14083 = 873 + 10263 + 14253 = 7483 + 8583 + 14303 = 1023 + 9223 + 14723 = 5763 + 8283 + 14763 = 603 + 9123 + 14763 = 2253 + 8283 + 15033 = 3783 + 7743 + 15123 = 963 + 7883 + 15163 = 113 + 7813 + 15183 = 4503 + 5583 + 15483 = 3763 + 5963 + 15483 = 2163 + 3683 + 15763 = 1253 + 3873 + 15763

18

2176782336 = 6393 + 9693 + 10023 = 3043 + 10103 + 10383 = 6923 + 8563 + 10683 = 1803 + 9843 + 10683 = 223 + 9863 + 10683 = 6483 + 8643 + 10803 = 4083 + 9083 + 11083 = 6573 + 8073 + 11103 = 1443 + 8643 + 11523 = 6123 + 7023 + 11703 = 4723 + 7443 + 11843 = 4003 + 7683 + 11843 = 4843 + 6393 + 12173 = 93 + 6393 + 12423 = 1563 + 6123 + 12483 = 823 + 5753 + 12573 = 2883 + 4563 + 12723 = 1643 + 4563 + 12763

19

10077696000 = 13923 + 14163 + 16563 = 10653 + 16153 + 16703 = 7653 + 16443 + 17313 = 3003 + 16403 + 17803 = 11863 + 13833 + 17933 = 5223 + 16063 + 17963 = 10803 + 14403 + 18003 = 7563 + 15123 + 18363 = 10953 + 13453 + 18503 = 1983 + 15523 + 18503 = 2403 + 14403 + 19203 = 10203 + 11703 + 19503 = 153 + 10653 + 20703 = 2603 + 10203 + 20803 = 6003 + 9123 + 20883 = 1623 + 9903 + 20883 = 4803 + 7603 + 21203 = 1843 + 8163 + 21203 = 1843 + 7883 + 21243

20

2985984000 = 9283 + 9443 + 11043 = 6213 + 11073 + 11163 = 5103 + 10963 + 11543 = 7203 + 9603 + 12003 = 5043 + 10083 + 12243 = 1073 + 10183 + 12453 = 6993 + 8373 + 12723 = 1603 + 9603 + 12803 = 4173 + 9273 + 12843 = 1023 + 9413 + 12913 = 6803 + 7803 + 13003 = 513 + 9223 + 13013 = 3553 + 8853 + 13103 = 2853 + 7953 + 13503 = 1673 + 7693 + 13623 = 103 + 7103 + 13803 = 5583 + 5633 + 13813 = 1533 + 6963 + 13833 = 4003 + 6083 + 13923 = 1083 + 6603 + 13923

21

36330467328 = 22693 + 22803 + 23393 = 14293 + 25083 + 26033 = 20043 + 21523 + 26363 = 19443 + 21603 + 26643 = 2163 + 25923 + 26643 = 10443 + 24393 + 27453 = 16563 + 22083 + 27603 = 14603 + 22483 + 27963 = 4983 + 24303 + 27963 = 7503 + 24093 + 27993 = 303 + 23493 + 28593 = 17283 + 18243 + 29283 = 3683 + 22083 + 29443 = 15643 + 17943 + 29903 = 13183 + 18663 + 30203 = 9043 + 20043 + 30203 = 3893 + 17983 + 31233 = 11223 + 15663 + 31443 = 233 + 16333 + 31743 = 12063 + 13593 + 31773 = 9903 + 11383 + 32363

22

30723115968 = 20103 + 22293 + 22593 = 20123 + 21543 + 23263 = 4353 + 23783 + 25813 = 15663 + 20883 + 26103 = 6213 + 23223 + 26193 = 8103 + 22683 + 26463 = 16113 + 18303 + 27333 = 16233 + 17743 + 27533 = 3483 + 20883 + 27843 = 9363 + 19803 + 28083 = 6083 + 19863 + 28303 = 13683 + 17283 + 28443 = 7203 + 19443 + 28443 = 12583 + 17613 + 28553 = 243 + 19163 + 28723 = 11883 + 16203 + 29163 = 8463 + 17463 + 29163 = 2363 + 17263 + 29463 = 4233 + 16483 + 29693 = 3773 + 14793 + 30163 = 6963 + 11023 + 30743 = 4233 + 4653 + 31263

23

23887872000 = 18563 + 18883 + 22083 = 12423 + 22143 + 22323 = 10203 + 21923 + 23083 = 14403 + 19203 + 24003 = 10083 + 20163 + 24483 = 2143 + 20363 + 24903 = 13983 + 16743 + 25443 = 3203 + 19203 + 25603 = 8343 + 18543 + 25683 = 2043 + 18823 + 25823 = 5103 + 18453 + 25953 = 13603 + 15603 + 26003 = 1023 + 18443 + 26023 = 7103 + 17703 + 26203 = 5703 + 15903 + 27003 = 3343 + 15383 + 27243 = 203 + 14203 + 27603 = 11163 + 11263 + 27623 = 3063 + 13923 + 27663 = 8003 + 12163 + 27843 = 2163 + 13203 + 27843 = 1183 + 12993 + 27893 = 7103 + 7953 + 28453

24

17414258688 = 12783 + 19383 + 20043 = 6943 + 20373 + 20513 = 6083 + 20203 + 20763 = 13843 + 17123 + 21363 = 3603 + 19683 + 21363 = 443 + 19723 + 21363 = 12963 + 17283 + 21603 = 8163 + 18163 + 22163 = 13143 + 16143 + 22203 = 13423 + 15653 + 22353 = 453 + 18423 + 22353 = 1033 + 17963 + 22653 = 2883 + 17283 + 23043 = 12243 + 14043 + 23403 = 6393 + 15933 + 23583 = 9443 + 14883 + 23683 = 8003 + 15363 + 23683 = 5133 + 14313 + 24303 = 9683 + 12783 + 24343 = 183 + 12783 + 24843 = 3123 + 12243 + 24963 = 1643 + 11503 + 25143 = 5763 + 9123 + 25443 = 3283 + 9123 + 25523

25

72825163776 = 26803 + 29723 + 30123 = 20823 + 28303 + 34523 = 11793 + 31093 + 34523 = 20883 + 27843 + 34803 = 8283 + 30963 + 34923 = 10803 + 30243 + 35283 = 21483 + 24403 + 36443 = 4643 + 27843 + 37123 = 21543 + 22143 + 37323 = 12483 + 26403 + 37443 = 19723 + 22623 + 37703 = 18243 + 23043 + 37923 = 9603 + 25923 + 37923 = 15843 + 21603 + 38883 = 11283 + 23283 + 38883 = 15353 + 20493 + 39283 = 15303 + 19263 + 39603 = 11733 + 19863 + 39873 = 9063 + 20383 + 39923 = 293 + 20593 + 40023 = 13073 + 18523 + 40053 = 11793 + 19083 + 40053 = 8463 + 9843 + 41463 = 5643 + 6203 + 41683 = 3033 + 4253 + 41743

26

75686967000 = 20853 + 32003 + 32353 = 27263 + 27733 + 32433 = 17193 + 32803 + 32813 = 14043 + 30963 + 35103 = 21153 + 28203 + 35253 = 20333 + 28363 + 35433 = 8733 + 31263 + 35433 = 17283 + 29343 + 35643 = 17353 + 29003 + 35853 = 12153 + 30303 + 35853 = 11673 + 29563 + 36413 = 21603 + 25503 + 36603 = 10153 + 29403 + 36653 = 9723 + 29343 + 36723 = 4363 + 29663 + 36723 = 4703 + 28203 + 37603 = 20953 + 22653 + 38003 = 18993 + 19023 + 39573 = 16083 + 19263 + 40083 = 15893 + 19393 + 40083 = 13053 + 20603 + 40153 = 13803 + 17803 + 40703 = 11753 + 17863 + 40893 = 2783 + 19083 + 40963 = 11523 + 17313 + 41013 = 3933 + 6393 + 42243

27

204141384000 = 25923 + 44863 + 45863 = 19653 + 45103 + 47153 = 32103 + 39403 + 47903 = 20463 + 43383 + 48483 = 1353 + 43853 + 49303 = 17703 + 42603 + 49503 = 2403 + 43203 + 49803 = 13413 + 42273 + 50163 = 5643 + 40613 + 51553 = 23163 + 37463 + 51823 = 7923 + 37463 + 53263 = 22163 + 32523 + 54163 = 25653 + 28503 + 54753 = 2853 + 34203 + 54753 = 593 + 31653 + 55663 = 20203 + 23183 + 56823 = 12663 + 26063 + 56923 = 12893 + 25863 + 56953 = 12753 + 25653 + 57003 = 10903 + 20603 + 57903 = 7203 + 21303 + 57903 = 12003 + 19403 + 58003 = 5913 + 19133 + 58183 = 13323 + 16683 + 58203 = 2403 + 16563 + 58443 = 7443 + 7563 + 58803 = 153 + 9453 + 58803

28

62099136000 = 25523 + 25963 + 30363 = 24003 + 27103 + 30503 = 14783 + 28963 + 32583 = 23343 + 24123 + 32823 = 20323 + 26163 + 32963 = 19803 + 26403 + 33003 = 17283 + 27243 + 33243 = 15723 + 27543 + 33423 = 13863 + 27723 + 33663 = 14603 + 27003 + 34003 = 9633 + 27543 + 34293 = 10443 + 27003 + 34563 = 4403 + 26403 + 35203 = 15723 + 24213 + 35313 = 18703 + 21453 + 35753 = 943 + 25173 + 35873 = 16763 + 20683 + 36483 = 2553 + 23053 + 36803 = 14403 + 20703 + 36903 = 1503 + 22803 + 36903 = 9453 + 19353 + 37803 = 2403 + 19703 + 37903 = 11003 + 16723 + 38283 = 2973 + 18153 + 38283 = 11253 + 13953 + 38703 = 9403 + 14903 + 38703 = 5403 + 9203 + 39403 = 3003 + 5443 + 39563

29

139314069504 = 25563 + 38763 + 40083 = 13883 + 40743 + 41023 = 12163 + 40403 + 41523 = 27683 + 34243 + 42723 = 7203 + 39363 + 42723 = 883 + 39443 + 42723 = 25923 + 34563 + 43203 = 16323 + 36323 + 44323 = 26283 + 32283 + 44403 = 26843 + 31303 + 44703 = 903 + 36843 + 44703 = 2063 + 35923 + 45303 = 5763 + 34563 + 46083 = 9183 + 33213 + 46713 = 24483 + 28083 + 46803 = 12783 + 31863 + 47163 = 18883 + 29763 + 47363 = 16003 + 30723 + 47363 = 22053 + 27863 + 47473 = 23913 + 25773 + 47703 = 10263 + 28623 + 48603 = 19363 + 25563 + 48683 = 363 + 25563 + 49683 = 6243 + 24483 + 49923 = 3283 + 23003 + 50283 = 11523 + 18243 + 50883 = 6563 + 18243 + 51043 = 12783 + 14313 + 51213 = 8073 + 16503 + 51213

30

245784927744 = 40203 + 44583 + 45183 = 40243 + 43083 + 46523 = 8703 + 47563 + 51623 = 31233 + 42453 + 51783 = 31323 + 41763 + 52203 = 12423 + 46443 + 52383 = 16203 + 45363 + 52923 = 32223 + 36603 + 54663 = 32463 + 35483 + 55063 = 4253 + 42873 + 55063 = 6963 + 41763 + 55683 = 32313 + 33213 + 55983 = 18723 + 39603 + 56163 = 29583 + 33933 + 56553 = 12163 + 39723 + 56603 = 27363 + 34563 + 56883 = 14403 + 38883 + 56883 = 25163 + 35223 + 57103 = 483 + 38323 + 57443 = 23763 + 32403 + 58323 = 16923 + 34923 + 58323 = 4723 + 34523 + 58923 = 16083 + 33193 + 58973 = 8463 + 32963 + 59383 = 22953 + 28893 + 59403 = 13593 + 30573 + 59883 = 7543 + 29583 + 60323 = 13923 + 22043 + 61483 = 12693 + 14763 + 62193 = 8463 + 9303 + 62523

31

80621568000 = 27843 + 28323 + 33123 = 21303 + 32303 + 33403 = 18633 + 33213 + 33483 = 15303 + 32883 + 34623 = 6003 + 32803 + 35603 = 23723 + 27663 + 35863 = 10443 + 32123 + 35923 = 21603 + 28803 + 36003 = 15123 + 30243 + 36723 = 21903 + 26903 + 37003 = 3963 + 31043 + 37003 = 753 + 30703 + 37253 = 3213 + 30543 + 37353 = 20973 + 25113 + 38163 = 4803 + 28803 + 38403 = 12513 + 27813 + 38523 = 3063 + 28233 + 38733 = 20403 + 23403 + 39003 = 1533 + 27663 + 39033 = 10653 + 26553 + 39303 = 8553 + 23853 + 40503 = 5013 + 23073 + 40863 = 303 + 21303 + 41403 = 16743 + 16893 + 41433 = 4593 + 20883 + 41493 = 5203 + 20403 + 41603 = 12003 + 18243 + 41763 = 3243 + 19803 + 41763 = 9603 + 15203 + 42403 = 3683 + 16323 + 42403 = 3683 + 15763 + 42483

32

191102976000 = 37123 + 37763 + 44163 = 24843 + 44283 + 44643 = 20403 + 43843 + 46163 = 32133 + 36543 + 47793 = 18903 + 42213 + 47793 = 28803 + 38403 + 48003 = 20163 + 40323 + 48963 = 4283 + 40723 + 49803 = 25953 + 34803 + 50853 = 27963 + 33483 + 50883 = 6403 + 38403 + 51203 = 16683 + 37083 + 51363 = 4083 + 37643 + 51643 = 27753 + 31053 + 51903 = 10203 + 36903 + 51903 = 27203 + 31203 + 52003 = 2043 + 36883 + 52043 = 23813 + 32443 + 52353 = 14853 + 35403 + 52353 = 14203 + 35403 + 52403 = 17673 + 32013 + 53463 = 11403 + 31803 + 54003 = 6683 + 30763 + 54483 = 403 + 28403 + 55203 = 22323 + 22523 + 55243 = 6123 + 27843 + 55323 = 16003 + 24323 + 55683 = 4323 + 26403 + 55683 = 13893 + 24593 + 55783 = 2363 + 25983 + 55783 = 5803 + 23813 + 56193 = 14203 + 15903 + 56903

33

272097792000 = 41763 + 42483 + 49683 = 31953 + 48453 + 50103 = 15203 + 50503 + 51903 = 22953 + 49323 + 51933 = 37363 + 42003 + 52643 = 34603 + 42803 + 53403 = 9003 + 49203 + 53403 = 1103 + 49303 + 53403 = 35583 + 41493 + 53793 = 15663 + 48183 + 53883 = 32403 + 43203 + 54003 = 22683 + 45363 + 55083 = 20403 + 45403 + 55403 = 32853 + 40353 + 55503 = 5943 + 46563 + 55503 = 7203 + 43203 + 57603 = 30603 + 35103 + 58503 = 6783 + 40583 + 58963 = 23603 + 37203 + 59203 = 20003 + 38403 + 59203 = 24773 + 34993 + 59823 = 24203 + 31953 + 60853 = 8933 + 34993 + 61143 = 16603 + 33843 + 61163 = 453 + 31953 + 62103 = 7803 + 30603 + 62403 = 18003 + 27363 + 62643 = 4863 + 29703 + 62643 = 4103 + 28753 + 62853 = 14403 + 22803 + 63603 = 5523 + 24483 + 63603 = 5523 + 23643 + 63723 = 8203 + 22803 + 63803

34

373248000000 = 46403 + 47203 + 55203 = 31053 + 55353 + 55803 = 25503 + 54803 + 57703 = 36003 + 48003 + 60003 = 40593 + 43653 + 60663 = 6843 + 53103 + 60663 = 26863 + 50283 + 60983 = 25203 + 50403 + 61203 = 19443 + 50283 + 62043 = 5353 + 50903 + 62253 = 32363 + 45403 + 62643 = 36483 + 41283 + 63363 = 11523 + 48963 + 63363 = 34953 + 41853 + 63603 = 31443 + 43893 + 63633 = 20523 + 46983 + 63903 = 8003 + 48003 + 64003 = 20853 + 46353 + 64203 = 5103 + 47053 + 64553 = 34003 + 39003 + 65003 = 12293 + 45873 + 65023 = 2553 + 46103 + 65053 = 17753 + 44253 + 65503 = 34083 + 35043 + 66243 = 14253 + 39753 + 67503 = 8353 + 38453 + 68103 = 21523 + 34803 + 68483 = 503 + 35503 + 69003 = 27903 + 28153 + 69053 = 7653 + 34803 + 69153 = 2463 + 33223 + 69563 = 20003 + 30403 + 69603 = 5403 + 33003 + 69603 = 9923 + 30403 + 70083