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A022576
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Expansion of Product_{m>=1} (1+x^m)^11.
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2
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1, 11, 66, 297, 1122, 3740, 11341, 31922, 84535, 212707, 512369, 1188353, 2666048, 5807296, 12319659, 25518757, 51725289, 102786959, 200568907, 384847199, 727019260, 1353654049, 2486522369, 4509972819, 8083287432, 14326409152, 25124415635, 43622744968, 75026666913, 127882738709
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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) ~ (11/3)^(1/4) * exp(Pi * sqrt(11*n/3)) / (128 * 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)^11, {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)^11)) \\ G. C. Greubel, Feb 26 2018
(Magma) Coefficients(&*[(1+x^m)^11:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Feb 26 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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