OFFSET
0,11
LINKS
Robert Israel, Table of n, a(n) for n = 0..3324
FORMULA
Conjecture: -(n+9)*(n-8)*a(n) +2*(n)*a(n-1) +4*n*(n-1)*a(n-2)=0. - R. J. Mathar, Jul 26 2015, verified by Robert Israel, Jun 28 2018
From Robert Israel, Jun 28 2018: (Start)
E.g.f.: I_8(2*x)+I_9(2*x), where I_k is the modified Bessel function of the first kind and order k.
G.f.: 256*x^8/((1+sqrt(1-4*x^2))^8*sqrt(1-4*x^2)) + 512*x^9/((1+sqrt(1-4*x^2))^9*sqrt(1-4*x^2)). (End)
MAPLE
seq(binomial(n, floor((n-8)/2)), n=0..50); # Robert Israel, Jun 28 2018
MATHEMATICA
Table[Binomial[n, Floor[(n-8)/2]], {n, 0, 40}] (* Harvey P. Dale, Jun 11 2013 *)
PROG
(GAP) List([0..40], n->Binomial(n, Int((n-8)/2))); # Muniru A Asiru, Jun 29 2018
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved