A229356 Total sum of n-th powers of parts in all partitions of 5.

20, 35, 87, 287, 1119, 4775, 21447, 99407, 470319, 2256695, 10936407, 53384927, 261997119, 1291033415, 6381582567, 31620148847, 156969213519, 780378126935, 3884192631927, 19350690855167, 96473921031519, 481256133809255, 2401840755956487, 11991486019167887

Offset

0,1

Links

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Formula

a(n) = Sum_{k=1..5} A066633(5,k) * k^n.

a(n) = 12 + 4*2^n + 2*3^n + 4^n + 5^n.

G.f.: -(1814*x^4-2543*x^3+1262*x^2-265*x+20) / ((x-1) *(2*x-1) *(3*x-1) *(4*x-1) *(5*x-1)).

Maple

a:= n-> 12+4*2^n+2*3^n+4^n+5^n:
seq(a(n), n=0..30);

Crossrefs

Row n=5 of A213191.

Sequence in context: A048022 A255349 A254363 * A048066 A287055 A326403

Adjacent sequences: A229353 A229354 A229355 * A229357 A229358 A229359

Keyword

nonn,easy

Author

Alois P. Heinz, Sep 20 2013

Status

approved