A229360 Total sum of n-th powers of parts in all partitions of 9.

128, 270, 910, 4392, 26218, 177120, 1292410, 9924912, 78974938, 644749920, 5365004410, 45294444432, 386724933658, 3331246259520, 28899114836410, 252142576067952, 2210222303020378, 19448976596389920, 171690169932572410, 1519690359242075472, 13481625657159443098

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