OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..360
FORMULA
a(n) = A049029(n+2,2),n>=0.
E.g.f. with offset n=2: ((-1+(1-4*x)^(-1/4))^2)/2!.
E.g.f.: (6 - 5*(1-4*x)^(1/4))/(1-4*x)^(5/2) (offset n=0).
a(n) = (-4)^n*(8*Sqrt(Pi)/Gamma(-3/2-n)-5*Gamma(-5/4)/Gamma(-5/4-n)). - Benedict W. J. Irwin, Apr 06 2017
MATHEMATICA
FullSimplify@Table[(-4)^n(8Sqrt[Pi]/Gamma[-3/2-n]-5Gamma[-5/4]/Gamma[-5/4-n]), {n, 0, 20}] (* Benedict W. J. Irwin, Apr 06 2017 *)
PROG
(PARI) x='x+O('x^50); Vec(serlaplace((6 - 5*(1-4*x)^(1/4))/(1 -4*x)^(5/2))) \\ G. C. Greubel, May 25 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Oct 17 2008, Dec 04 2008
STATUS
approved