A229357 Total sum of n-th powers of parts in all partitions of 6.

35, 66, 180, 660, 2904, 14196, 73920, 400620, 2229624, 12637956, 72573360, 420738780, 2456635944, 14422057716, 85023813600, 502907704140, 2982460443864, 17724476245476, 105513644666640, 628987635392700, 3753738850485384, 22422625749793236, 134041199563164480

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: A224485 A267330 A353175 * A376713 A254364 A146207

Adjacent sequences: A229354 A229355 A229356 * A229358 A229359 A229360

Keyword

nonn,easy

Author

Alois P. Heinz, Sep 20 2013

Status

approved