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A229356 Total sum of n-th powers of parts in all partitions of 5. 2
20, 35, 87, 287, 1119, 4775, 21447, 99407, 470319, 2256695, 10936407, 53384927, 261997119, 1291033415, 6381582567, 31620148847, 156969213519, 780378126935, 3884192631927, 19350690855167, 96473921031519, 481256133809255, 2401840755956487, 11991486019167887 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 26 16:43 EDT 2020. Contains 337374 sequences. (Running on oeis4.)