OFFSET
0,4
COMMENTS
Binomial transform is A102881.
FORMULA
G.f.: (1+2x)/sqrt(1+4x+2x^2-12x^3-15x^4).
Conjecture: n*(n+1)*a(n) +2*(2*n+3)*(n-1)*a(n-1) +2*(n^2-7)*a(n-2) +6*(5+n-2*n^2)*a(n-3) -15*(n+2)*(n-3)*a(n-4)=0. - R. J. Mathar, Nov 09 2012
Lim sup n->infinity |a(n)|^(1/n) = sqrt(5). - Vaclav Kotesovec, Feb 03 2014
MATHEMATICA
CoefficientList[Series[(1+2*x)/Sqrt[1+4*x+2*x^2-12*x^3-15*x^4], {x, 0, 20}], x] (* Vaclav Kotesovec, Feb 03 2014 *)
CROSSREFS
KEYWORD
easy,sign
AUTHOR
Paul Barry, Jan 15 2005
STATUS
approved