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G.f.: Product_{m>=1} 1/(1-x^m)^30.
3

%I #11 Mar 12 2015 04:40:29

%S 1,30,495,5890,56265,456786,3263990,21017040,124018290,679118550,

%T 3484681077,16884109080,77731521980,341784289770,1441489548195,

%U 5852747363518,22948550618400,87131200662540,321100847115950,1150962640399770,4020058004480100,13704611801774340

%N G.f.: Product_{m>=1} 1/(1-x^m)^30.

%H Alois P. Heinz, <a href="/A082556/b082556.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)*30/n)

%p end:

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

%Y Cf. 30th column of A144064.

%K nonn

%O 0,2

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