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A163275 a(n) = n^5*(n+1)^2/2. 5
0, 2, 144, 1944, 12800, 56250, 190512, 537824, 1327104, 2952450, 6050000, 11595672, 21026304, 36386714, 60505200, 97200000, 151519232, 230016834, 341067024, 495219800, 705600000, 988352442, 1363135664, 1853666784 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums of triangle A163285.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

FORMULA

From R. J. Mathar, Feb 05 2010: (Start)

a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8).

G.f.: 2*x*(1 + 64*x + 424*x^2 + 584*x^3 + 179*x^4  +8*x^5)/(x-1)^8.

MAPLE

A163275 := proc(n) n^5*(n+1)^2/2 ; end proc: seq(A163275(n), n=0..60) ; # R. J. Mathar, Feb 05 2010

MATHEMATICA

Table[(1/2)*n^5*(n + 1)^2, {n, 0, 50}] (* or *) LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 2, 144, 1944, 12800, 56250, 190512, 537824}, 50] (* G. C. Greubel, Dec 12 2016 *)

PROG

(PARI) concat([0], Vec(2*x*(1+64*x+424*x^2+584*x^3+179*x^4+8*x^5)/(x-1)^8 + O(x^50))) \\ G. C. Greubel, Dec 12 2016

CROSSREFS

Cf. A006002, A099903, A163102, A163274, A163276, A163277, A163285.

Sequence in context: A304582 A320061 A282296 * A157073 A304461 A264153

Adjacent sequences:  A163272 A163273 A163274 * A163276 A163277 A163278

KEYWORD

easy,nonn

AUTHOR

Omar E. Pol, Jul 24 2009

EXTENSIONS

Extended by R. J. Mathar, Feb 05 2010

STATUS

approved

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Last modified January 19 16:16 EST 2021. Contains 340270 sequences. (Running on oeis4.)