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A025233
Expansion of Product_{m>=1} (1 + q^m)^48.
2
1, 48, 1176, 19648, 252204, 2655456, 23901760, 189208704, 1344644814, 8713158928, 52107076128, 290374290624, 1519725061816, 7518508799904, 35352238216704, 158716136933504, 683059486979301, 2827559773199856
OFFSET
0,2
LINKS
FORMULA
a(n) ~ exp(4*Pi*sqrt(n)) / (2^(49/2) * n^(3/4)) * (1 + (4*Pi - 3/(32*Pi))/sqrt(n)). - Vaclav Kotesovec, Nov 10 2017
MATHEMATICA
nmax = 20; CoefficientList[Series[Product[(1 + x^k)^48, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Nov 10 2017 *)
CROSSREFS
Sequence in context: A344401 A369561 A011000 * A004425 A082558 A285169
KEYWORD
nonn
STATUS
approved