A082559 - OEIS

%I #9 Mar 12 2015 04:46:30

%S 1,64,2144,49920,905840,13627264,176638592,2025205248,20930373880,

%T 197788352320,1728062919232,14083242424576,107837287452608,

%U 780481475916160,5366307146732800,35202669371599360,221142159585764508,1334633003840266624,7760187771579170400

%N G.f.: Product_{m>=1} 1/(1-x^m)^64.

%H Alois P. Heinz, <a href="/A082559/b082559.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Pro#1mxtok">Index entries for expansions of Product_{k >= 1} (1-x^k)^m</a>

%p a:= proc(n) option remember; `if`(n=0, 1, add(

%p       numtheory[sigma](j)*a(n-j), j=1..n)*64/n)

%p     end:

%p seq(a(n), n=0..25);  # _Alois P. Heinz_, Mar 12 2015

%Y Cf. 64th column of A144064.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, May 04 2003