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A022594
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Expansion of Product_{m>=1} (1+q^m)^30.
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2
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1, 30, 465, 4990, 41820, 292236, 1773325, 9603210, 47322525, 215286380, 914269641, 3656192760, 13865226845, 50148901590, 173821904265, 579696375972, 1866529110420, 5819476726230, 17613901516660, 51870170192610, 148909462006422, 417468856858550, 1144709400114480
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) ~ (5/2)^(1/4) * exp(Pi * sqrt(10*n)) / (65536 * n^(3/4)). - Vaclav Kotesovec, Mar 05 2015
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MATHEMATICA
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nmax=50; CoefficientList[Series[Product[(1+q^m)^30, {m, 1, nmax}], {q, 0, nmax}], q] (* Vaclav Kotesovec, Mar 05 2015 *)
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PROG
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(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
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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