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 A302836 a(n) = [x^n] Product_{k>=1} 1/(1 - n*x^(k^2)). 0
 1, 1, 4, 27, 260, 3150, 46872, 825944, 16810048, 387952668, 10010010100, 285526191874, 8921263237056, 303013028232642, 11116057874586840, 438023675344410000, 18451248777413066768, 827408674110381669305, 39353155876513869320412, 1978708139249503877752798 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS FORMULA a(n) ~ n^n * (1 + 1/n^3 + 1/n^6 + 1/n^8 + 1/n^9 + 1/n^11 + 1/n^12 + 1/n^14 + 2/n^15 + 1/n^16 + 1/n^17 + 2/n^18 + 1/n^19 + 1/n^20 + 2/n^21 + 1/n^22 + 2/n^23 + 4/n^24 + 1/n^25 + 2/n^26 + 4/n^27 + 1/n^28 + 2/n^29 + 5/n^30 + ...), for coefficients see A111178. - Vaclav Kotesovec, Apr 13 2018 MATHEMATICA Table[SeriesCoefficient[Product[1/(1 - n x^k^2), {k, 1, n}], {x, 0, n}], {n, 0, 19}] CROSSREFS Cf. A001156, A124577, A285245, A291583, A292417, A300974. Sequence in context: A302108 A240582 A328694 * A301335 A177379 A052813 Adjacent sequences:  A302833 A302834 A302835 * A302837 A302838 A302839 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Apr 13 2018 STATUS approved

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Last modified April 22 10:43 EDT 2021. Contains 343174 sequences. (Running on oeis4.)