login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A082558
Expansion of Product_{m>=1} 1/(1-x^m)^48.
4
1, 48, 1224, 21952, 309876, 3657312, 37468928, 341773440, 2826752418, 21491641808, 151810235136, 1004753937600, 6273891838360, 37171410206112, 209969121051648, 1135389617917568, 5897908848093087, 29521227582821520, 142760699405228800
OFFSET
0,2
LINKS
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
MATHEMATICA
CoefficientList[1/QPochhammer[x]^48 + O[x]^100, x] (* Jean-François Alcover, Feb 04 2024 *)
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
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, May 04 2003
STATUS
approved