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A229357 Total sum of n-th powers of parts in all partitions of 6. 2
35, 66, 180, 660, 2904, 14196, 73920, 400620, 2229624, 12637956, 72573360, 420738780, 2456635944, 14422057716, 85023813600, 502907704140, 2982460443864, 17724476245476, 105513644666640, 628987635392700, 3753738850485384, 22422625749793236, 134041199563164480 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..500

FORMULA

a(n) = Sum_{k=1..6} A066633(6,k) * k^n.

a(n) = 19 + 8*2^n + 4*3^n + 2*4^n + 5^n + 6^n.

G.f.: -(18144*x^5 -28874*x^4 +17295*x^3 -4919*x^2 +669*x -35) / Product_{j=1..6} (j*x-1).

MAPLE

a:= n-> 19+8*2^n+4*3^n+2*4^n+5^n+6^n:

seq(a(n), n=0..30);

CROSSREFS

Row n=6 of A213191.

Sequence in context: A162832 A224485 A267330 * A254364 A146207 A135802

Adjacent sequences:  A229354 A229355 A229356 * A229358 A229359 A229360

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Sep 20 2013

STATUS

approved

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Last modified November 15 11:12 EST 2019. Contains 329144 sequences. (Running on oeis4.)