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A094822
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E.g.f.: exp(3x)/(1-3x)^(1/3).
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6
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1, 4, 19, 118, 1021, 12088, 183727, 3389242, 73156249, 1804349548, 50009179819, 1537920654526, 51952155415381, 1911990785926432, 76137201611236999, 3261400435090171522, 149530099101901409713, 7305923490645888605908, 378947686822932957638851
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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a(n) = Sum_{k = 0..n} A046716(n, k)*3^k.
a(n) ~ Gamma(2/3)*3^(n+1/2)*n^(n-1/6)/(sqrt(2*Pi)*exp(n-1)). - Vaclav Kotesovec, Jun 15 2013
Conjecture: D-finite with recurrence: a(n) +(-3*n-1)*a(n-1) +9*(n-1)*a(n-2)=0. - R. J. Mathar, Nov 14 2019
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MATHEMATICA
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With[{nn=20}, CoefficientList[Series[Exp[3x]/Surd[1-3x, 3], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jul 28 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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EXTENSIONS
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STATUS
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approved
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