OFFSET
0,2
LINKS
Michael Z. Spivey and Laura L. Steil, The k-Binomial Transforms and the Hankel Transform, Journal of Integer Sequences, Vol. 9 (2006), Article 06.1.1.
FORMULA
a(n) = 4n*a(n-1)+4^n, n>0, a(0)=1; a(n) = 4^n*A000522(n).
G.f.: 1/Q(0), where Q(k) = 1 - 8*x*(k+1) - 16*x^2*(k+1)^2/Q(k+1); (continued fraction). - Sergei N. Gladkovskii, Sep 30 2013
D-finite with recurrence a(n) +4*(-n-1)*a(n-1) +16*(n-1)*a(n-2)=0. - R. J. Mathar, Feb 19 2015
MATHEMATICA
With[{nn=20}, CoefficientList[Series[Exp[4x]/(1-4x), {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Feb 02 2017 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Aug 26 2004
STATUS
approved