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A094905
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Expansion of e.g.f.: exp(6*x)/(1-6*x)^(1/6).
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3
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1, 7, 55, 541, 7585, 157231, 4452247, 157484725, 6594785281, 317357589655, 17222102537911, 1039632137764237, 69073193451776545, 5007661199176196671, 393324947394545293975, 33268708968518818629541
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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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E.g.f.: exp(6*x)/(1-6*x)^(1/6).
a(n) = Sum_{k = 0..n} A046716(n, k)*6^k.
Conjectured to be D-finite with recurrence: a(n) +(-6*n-1)*a(n-1) +36*(n-1)*a(n-2) = 0. - R. J. Mathar, Nov 15 2019
a(n) ~ sqrt(Pi) * 2^(n + 1/2) * 3^n * n^(n - 1/3) / (Gamma(1/6) * exp(n - 1)). - Vaclav Kotesovec, Nov 19 2021
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MATHEMATICA
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With[{nn=20}, CoefficientList[Series[Exp[6x]/Surd[1-6x, 6], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Dec 15 2022 *)
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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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