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Search: id:A027441
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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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+0
78
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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; listen)
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OFFSET
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0,3
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COMMENT
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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]
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LINKS
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Index entries for sequences related to linear recurrences with constant coefficients
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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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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MAPLE
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a:=n->sum(-j+sum(j-sum(j, j=1..n), j=1..n), j=1..n):seq(-a(n), n=0..37); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 06 2008]
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CROSSREFS
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Sequence in context: A118546 A075233 A062783 this_sequence A000971 A061927 A051923
Adjacent sequences: A027438 A027439 A027440 this_sequence A027442 A027443 A027444
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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