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A082558 Expansion of Product_{m>=1} 1/(1-x^m)^48. 3

%I

%S 1,48,1224,21952,309876,3657312,37468928,341773440,2826752418,

%T 21491641808,151810235136,1004753937600,6273891838360,37171410206112,

%U 209969121051648,1135389617917568,5897908848093087,29521227582821520,142760699405228800

%N Expansion of Product_{m>=1} 1/(1-x^m)^48.

%H Seiichi Manyama, <a href="/A082558/b082558.txt">Table of n, a(n) for n = 0..10000</a> (terms 0..1000 from Alois P. Heinz)

%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)*48/n)

%p end:

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

%o (PARI) Vec(1/eta(x)^48 + O(x^30)) \\ _Michel Marcus_, Sep 17 2018

%Y Cf. 48th column of A144064.

%K nonn

%O 0,2

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

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Last modified August 19 18:33 EDT 2019. Contains 326133 sequences. (Running on oeis4.)