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Search: id:A027602
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| A027602 |
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n^3 + (n+1)^3 + (n+2)^3. |
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+0
8
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| 9, 36, 99, 216, 405, 684, 1071, 1584, 2241, 3060, 4059, 5256, 6669, 8316, 10215, 12384, 14841, 17604, 20691, 24120, 27909, 32076, 36639, 41616, 47025, 52884, 59211, 66024, 73341, 81180, 89559, 98496, 108009, 118116, 128835, 140184
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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When n=3, the sum 216 is equal to (n+3)^3 or 6^3. [From Howard Berman (howard_berman(AT)hotmail.com), Nov 07 2008]
Summation of n^3 taken 3 at a time. [From Al Hakanson (hawkuu(AT)gmail.com), May 20 2009]
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LINKS
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P. De Geest, Palindromic Sums of Cubes of Consecutive Integers
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FORMULA
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a(n)=9*A006527(n+1). - Lekraj Beedassy (blekraj(AT)yahoo.com), Feb 01 2007
a(n)=3*n^3+18*n^2+42*n+36. Offset 0. a(3)=405. [From Al Hakanson (hawkuu(AT)gmail.com), May 20 2009]
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MATHEMATICA
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a[n_]:=n^3; lst={}; Do[AppendTo[lst, (a[n]+a[n+1]+a[n+2])], {n, 0, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 03 2009]
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PROGRAM
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sage: [i^3+(i+1)^3+(i+2)^3 for i in xrange(0, 48)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 03 2008
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CROSSREFS
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Cf. A003215, A000537, A000578, A005898 [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 03 2009]
Sequence in context: A022604 A085630 A133226 this_sequence A134537 A066647 A085037
Adjacent sequences: A027599 A027600 A027601 this_sequence A027603 A027604 A027605
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KEYWORD
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nonn
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com)
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