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A022594 Expansion of Product_{m>=1} (1+q^m)^30. 2
1, 30, 465, 4990, 41820, 292236, 1773325, 9603210, 47322525, 215286380, 914269641, 3656192760, 13865226845, 50148901590, 173821904265, 579696375972, 1866529110420, 5819476726230, 17613901516660, 51870170192610, 148909462006422, 417468856858550, 1144709400114480 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

FORMULA

a(n) ~ (5/2)^(1/4) * exp(Pi * sqrt(10*n)) / (65536 * n^(3/4)). - Vaclav Kotesovec, Mar 05 2015

MATHEMATICA

nmax=50; CoefficientList[Series[Product[(1+q^m)^30, {m, 1, nmax}], {q, 0, nmax}], q] (* Vaclav Kotesovec, Mar 05 2015 *)

PROG

(PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1+q^n)^30)) \\ G. C. Greubel, Feb 19 2018

(MAGMA) Coefficients(&*[(1+x^m)^30:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Feb 19 2018

CROSSREFS

Column k=30 of A286335.

Sequence in context: A162377 A162736 A010982 * A321955 A321045 A004416

Adjacent sequences:  A022591 A022592 A022593 * A022595 A022596 A022597

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified April 20 22:22 EDT 2019. Contains 322310 sequences. (Running on oeis4.)