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A132366 Partial sum of centered tetrahedral numbers A005894. 5
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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).

FORMULA

(n^4 + 4n^3 + 11n^2 + 14n + 6)/6.

G.f.: -(x+1)*(x^2+1) / (x-1)^5. - Colin Barker, May 04 2013

MATHEMATICA

Do[Print[n, " ", (n^4 + 4 n^3 + 11 n^2 + 14 n + 6)/6 ], {n, 0, 10000}]

CROSSREFS

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

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post, Nov 09 2007

EXTENSIONS

Corrected offset, Mathematica program by Tomas J. Bulka (tbulka(AT)rodincoil.com), Sep 02 2009

STATUS

approved

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Last modified February 20 04:24 EST 2020. Contains 332063 sequences. (Running on oeis4.)