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A022635
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Expansion of Product_{m>=1} (1 + m*q^m)^7.
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2
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1, 7, 35, 154, 588, 2065, 6790, 21071, 62447, 177863, 489279, 1305402, 3389603, 8587999, 21280436, 51674728, 123161500, 288539664, 665292642, 1511359766, 3386065697, 7488093282, 16357998447, 35324428405, 75453678433, 159512035137, 333918915120, 692516812176, 1423479123640
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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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G.f.: exp(7*Sum_{j>=1} Sum_{k>=1} (-1)^(j+1)*k^j*x^(j*k)/j). - Ilya Gutkovskiy, Feb 08 2018
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MATHEMATICA
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With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^7, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Feb 17 2018 *)
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PROG
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(PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1+n*q^n)^7)) \\ G. C. Greubel, Feb 17 2018
(Magma) Coefficients(&*[(1+m*x^m)^7:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Feb 17 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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