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A027441
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(n^4+n)/2 (row sums of n X n X n magic cube, when it exists).
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79
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0, 1, 9, 42, 130, 315, 651, 1204, 2052, 3285, 5005, 7326, 10374, 14287, 19215, 25320, 32776, 41769, 52497, 65170, 80010, 97251, 117139, 139932, 165900, 195325, 228501, 265734, 307342, 353655, 405015, 461776, 524304, 592977
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Starting with offset 1 = binomial transform of (1, 8, 25, 30, 12, 0, 0, 0,...). [From Gary W. Adamson (qntmpkt(AT)yahoo.com), May 20 2009]
a(n) = SUM(k: n<=k<=n^2); for n>0: a(n)=A037270(n)-A000217(n-1). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 06 2010]
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..680
Index entries for sequences related to linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
Eric Weisstein's World of Mathematics, Magic Constant
Eric Weisstein's World of Mathematics, Magic Cube
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FORMULA
| O.g.f.: -x*(1+4*x+7*x^2)/(-1+x)^5 . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 13 2008
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PROG
| (MAGMA) [(n^4+n)/2: n in [0..50]]; // Vincenzo Librandi, Apr 29 2011
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CROSSREFS
| Cf. A002061, A139562, A179268. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 06 2010]
Sequence in context: A075233 A062783 A172464 * A000971 A061927 A051923
Adjacent sequences: A027438 A027439 A027440 * A027442 A027443 A027444
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KEYWORD
| nonn,easy
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com)
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