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A132366
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Partial sum of centered tetrahedral numbers A005894.
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5
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1, 6, 21, 56, 125, 246, 441, 736, 1161, 1750, 2541, 3576, 4901, 6566, 8625, 11136, 14161, 17766, 22021, 27000, 32781, 39446, 47081, 55776, 65625, 76726, 89181, 103096, 118581, 135750, 154721, 175616, 198561, 223686, 251125, 281016, 313501, 348726, 386841
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OFFSET
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0,2
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LINKS
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Nathaniel Johnston, Table of n, a(n) for n = 0..5000
Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
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FORMULA
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(n^4 + 4n^3 + 11n^2 + 14n + 6)/6.
G.f.: -(x+1)*(x^2+1) / (x-1)^5. - Colin Barker, May 04 2013
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MATHEMATICA
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Do[Print[n, " ", (n^4 + 4 n^3 + 11 n^2 + 14 n + 6)/6 ], {n, 0, 10000}]
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CROSSREFS
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Cf. A000292, A005894, A063488, A001845, A063489, A005898, A063490, A057813, A063491, A005902, A063492, A005917, A063493, A063494, A063495, A063496.
Sequence in context: A162539 A259474 A002817 * A015641 A292950 A282845
Adjacent sequences: A132363 A132364 A132365 * A132367 A132368 A132369
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post, Nov 09 2007
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EXTENSIONS
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Corrected offset, Mathematica program by Tomas J. Bulka (tbulka(AT)rodincoil.com), Sep 02 2009
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STATUS
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approved
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