A229358 Total sum of n-th powers of parts in all partitions of 7.

54, 105, 311, 1281, 6407, 35745, 212951, 1323441, 8464487, 55247745, 365983991, 2451448401, 16559916167, 112602093345, 769628452631, 5282089330161, 36372360161447, 251135368228545, 1737811434946871, 12047233511096721, 83642479068080327, 581449745964789345

Offset

0,1

Links

Alois P. Heinz, Table of n, a(n) for n = 0..500

Formula

a(n) = Sum_{k=1..7} A066633(7,k) * k^n.

a(n) = 30 + 11*2^n + 6*3^n + 3*4^n + 2*5^n + 6^n + 7^n.

G.f.: -(196356*x^6 -339112*x^5 +230407*x^4 -79457*x^3 +14759*x^2 -1407*x +54) / Product_{j=1..7} (j*x-1).

Maple

a:= n-> 30+11*2^n+6*3^n+3*4^n+2*5^n+6^n+7^n:
seq(a(n), n=0..30);

Crossrefs

Row n=7 of A213191.

Sequence in context: A044143 A044524 A095962 * A341362 A039477 A043446

Adjacent sequences: A229355 A229356 A229357 * A229359 A229360 A229361

Keyword

nonn,easy

Author

Alois P. Heinz, Sep 20 2013

Status

approved