A229361 Total sum of n-th powers of parts in all partitions of 10.

192, 420, 1494, 7686, 49218, 358710, 2838234, 23736846, 206418978, 1846772550, 16877063274, 156755849406, 1474458820338, 14008019814390, 134151794416314, 1293111887664366, 12531051927887298, 121969635737464230, 1191547891970937354, 11676481763813277726

Offset

0,1

Links

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

Formula

a(n) = Sum_{k=1..10} A066633(10,k) * k^n.

a(n) = 97+41*2^n+21*3^n+13*4^n+8*5^n+5*6^n+3*7^n+2*8^n+9^n+10^n.

G.f.: -6*(79272960*x^9 -165073604*x^8 +144452636*x^7 -70246061*x^6 +21041460*x^5 -4044664*x^4 +500814*x^3 -38639*x^2 +1690*x -32) / Product_{j=1..10} (j*x-1).

Maple

a:= n-> 97+41*2^n+21*3^n+13*4^n+8*5^n+5*6^n+3*7^n+2*8^n+9^n+10^n:
seq(a(n), n=0..30);

Crossrefs

Row n=10 of A213191.

Sequence in context: A234135 A030632 A189987 * A232940 A254854 A254847

Adjacent sequences: A229358 A229359 A229360 * A229362 A229363 A229364

Keyword

nonn,easy

Author

Alois P. Heinz, Sep 20 2013

Status

approved