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A229360 Total sum of n-th powers of parts in all partitions of 9. 2
128, 270, 910, 4392, 26218, 177120, 1292410, 9924912, 78974938, 644749920, 5365004410, 45294444432, 386724933658, 3331246259520, 28899114836410, 252142576067952, 2210222303020378, 19448976596389920, 171690169932572410, 1519690359242075472, 13481625657159443098 (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..9} A066633(9,k) * k^n.

a(n) = 67 + 26*2^n + 15*3^n + 8*4^n + 5*5^n + 3*6^n + 2*7^n + 8^n + 9^n.

G.f.: -2*(16152120*x^8 -31900986*x^7 +26059495*x^6 -11585520*x^5 +3083861*x^4 -505629*x^3 +50060*x^2 -2745*x +64) / Product_{j=1..9} (j*x-1).

MAPLE

a:= n-> 67+26*2^n+15*3^n+8*4^n+5*5^n+3*6^n+2*7^n+8^n+9^n:

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

CROSSREFS

Row n=9 of A213191.

Sequence in context: A235059 A045053 A234877 * A086059 A220582 A203449

Adjacent sequences:  A229357 A229358 A229359 * A229361 A229362 A229363

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Sep 20 2013

STATUS

approved

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Last modified January 27 16:29 EST 2022. Contains 350608 sequences. (Running on oeis4.)