OFFSET
0,3
COMMENTS
Fifth binomial transform is A098665.
LINKS
Harvey P. Dale, Table of n, a(n) for n = 0..1000
FORMULA
G.f.: (1+8x-sqrt(1-16x^2))/(8xsqrt(1-16x^2));
a(n)=binomial(n, floor(n/2))4^floor(n/2).
Conjecture: (n+1)*a(n)+8(n-1)*a(n-1) -16*n*a(n-2) +128*(2-n)*a(n-3)=0. - R. J. Mathar, Dec 08 2011
MATHEMATICA
With[{nn=30}, CoefficientList[Series[BesselI[0, 4x]+BesselI[1, 4x]/2, {x, 0, nn}], x]Range[0, nn]!] (* Harvey P. Dale, May 14 2012 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Sep 20 2004
STATUS
approved