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A022586
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Expansion of Product_{m>=1} (1+x^m)^21.
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2
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1, 21, 231, 1792, 11067, 58002, 268093, 1120899, 4315269, 15497986, 52441347, 168487473, 517184185, 1524390777, 4332440454, 11914441196, 31798680774, 82574231187, 209091601271, 517272712845, 1252351944165, 2971700764941, 6920411525727, 15835150526244, 35640093688017
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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) ~ 7^(1/4) * exp(Pi * sqrt(7*n)) / (4096 * 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)^21, {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)^21)) \\ G. C. Greubel, Feb 25 2018
(Magma) Coefficients(&*[(1+x^m)^21:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Feb 25 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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