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A082558 Expansion of Product_{m>=1} 1/(1-x^m)^48. 3
1, 48, 1224, 21952, 309876, 3657312, 37468928, 341773440, 2826752418, 21491641808, 151810235136, 1004753937600, 6273891838360, 37171410206112, 209969121051648, 1135389617917568, 5897908848093087, 29521227582821520, 142760699405228800 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..10000 (terms 0..1000 from Alois P. Heinz)

Index entries for expansions of Product_{k >= 1} (1-x^k)^m

MAPLE

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

      numtheory[sigma](j)*a(n-j), j=1..n)*48/n)

    end:

seq(a(n), n=0..25);  # Alois P. Heinz, Mar 12 2015

PROG

(PARI) Vec(1/eta(x)^48 + O(x^30)) \\ Michel Marcus, Sep 17 2018

CROSSREFS

Cf. 48th column of A144064.

Sequence in context: A011000 A025233 A004425 * A285169 A163272 A165283

Adjacent sequences:  A082555 A082556 A082557 * A082559 A082560 A082561

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, May 04 2003

STATUS

approved

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Last modified July 17 14:44 EDT 2019. Contains 325106 sequences. (Running on oeis4.)