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A056468 a(n) = sum(k=1,n, k^6*binomial(n,k)). 2
0, 1, 66, 924, 7400, 44040, 217392, 942592, 3714048, 13593600, 46914560, 154328064, 487778304, 1490384896, 4423372800, 12801146880, 36235378688, 100580917248, 274361352192, 736775372800, 1950815354880, 5099601002496, 13176144920576, 33682341494784 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..23.

Index entries for linear recurrences with constant coefficients, signature (14,-84,280,-560,672,-448,128).

FORMULA

a(n) = 2^(n-6)*n*(n+1)*(n^4 + 14*n^3 + 31*n^2 - 46*n + 16).

G.f.: -x*(136*x^4-272*x^3+84*x^2+52*x+1)/(2*x-1)^7. [Colin Barker, Sep 20 2012]

MATHEMATICA

Table[Sum[k^6*Binomial[n, k], {k, n}], {n, 0, 30}] (* T. D. Noe, Nov 22 2013 *)

PROG

(PARI) a(n) = sum(k = 1, n, k^6*binomial(n, k)); \\ Michel Marcus, Nov 20 2013

CROSSREFS

Cf. A001788, A059338, A058649, A058645.

Sequence in context: A101093 A293613 A304838 * A027785 A271757 A228996

Adjacent sequences:  A056465 A056466 A056467 * A056469 A056470 A056471

KEYWORD

nonn,easy

AUTHOR

Benoit Cloitre, Dec 06 2002

STATUS

approved

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Last modified October 21 16:04 EDT 2019. Contains 328301 sequences. (Running on oeis4.)