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A320250 Expansion of Product_{k>=1} (1 + x^k)^(A048272(k)). 2
1, 1, 0, 2, 1, 1, 3, 1, 3, 4, 5, 4, 5, 6, 6, 12, 9, 11, 15, 16, 15, 22, 22, 22, 35, 33, 37, 42, 48, 48, 66, 68, 69, 90, 89, 104, 122, 127, 135, 165, 175, 189, 218, 234, 250, 302, 315, 332, 393, 413, 453, 519, 549, 587, 677, 715, 778, 872, 936, 1000, 1142, 1204 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..1000

FORMULA

a(n) ~ (log(2))^(1/4) * exp(Pi*sqrt(log(2)*n/3)) / (2^(7/4) * 3^(1/4) * n^(3/4)).

MATHEMATICA

nmax = 100; A048272 = Table[Sum[-(-1)^d, {d, Divisors[n]}], {n, 1, nmax}]; CoefficientList[Series[Product[(1+x^k)^(A048272[[k]]), {k, 1, nmax}], {x, 0, nmax}], x]

CROSSREFS

Cf. A048272, A158441, A295794.

Sequence in context: A098925 A102426 A052920 * A089141 A245717 A248008

Adjacent sequences:  A320247 A320248 A320249 * A320251 A320252 A320253

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Oct 08 2018

STATUS

approved

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Last modified April 9 19:36 EDT 2020. Contains 333362 sequences. (Running on oeis4.)