OFFSET
0,2
FORMULA
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
MATHEMATICA
With[{nn=20}, CoefficientList[Series[Exp[3x]/Surd[1-3x, 3], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Jul 28 2018 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Philippe Deléham, Jun 12 2004
EXTENSIONS
Corrected and extended by Harvey P. Dale, Jul 28 2018
STATUS
approved