OFFSET
1,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..250
Wolfdieter Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.
FORMULA
E.g.f.: exp(1 - (1-6*x)^(1/6)) - 1.
D-finite with recurrence: a(n) = 15*(2*n-7)*a(n-1) +5*(72*n^2-576*n+1169)*a(n-2) +45*(2*n-9)*(24*n^2-216*n+497)*a(n-3) -20*(324*n^4-6480*n^3+48735*n^2-163350*n+205877)*a(n-4) +12*(6*n-35)*(6*n-31)*(3*n-16)*(2*n-11)*(3*n-17)*a(n-5) +a(n-6). - R. J. Mathar, Jan 28 2020
MATHEMATICA
With[{nn=20}, Rest[CoefficientList[Series[Exp[1-(1-6x)^(1/6)]-1, {x, 0, nn}], x]Range[0, nn]!]] (* Harvey P. Dale, Feb 02 2012 *)
PROG
(Magma) R<x>:=PowerSeriesRing(Rationals(), 30); Coefficients(R!(Laplace( Exp(1-(1-6*x)^(1/6)) -1 ))); // G. C. Greubel, Oct 03 2023
(SageMath)
def A028844_list(prec):
P.<x> = PowerSeriesRing(QQ, prec)
return P( exp(1-(1-6*x)^(1/6)) -1 ).egf_to_ogf().list()
a=A028844_list(40); a[1:] # G. C. Greubel, Oct 03 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved