OFFSET
0,8
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
FORMULA
a(n) = binomial(n, A004526(n-5)). - Wesley Ivan Hurt, Nov 28 2013
(n+6)*(n-5)*a(n) = 2*(n)*a(n-1) + 4*(n-1)*n*a(n-2). - R. J. Mathar, Jul 26 2015
From G. C. Greubel, Jun 21 2022: (Start)
G.f.: ((1 +x -6*x^2 -5*x^3 +9*x^4 +5*x^5 -2*x^6) - (1 +x -4*x^2 -3*x^3 +3*x^4 +x^5)*sqrt(1-4*x^2))/(2*x^6*sqrt(1-4*x^2)).
E.g.f.: BesselI(5, 2*x) + BesselI(6, 2*x). (End)
MAPLE
MATHEMATICA
Table[Binomial[n, Floor[(n-5)/2]], {n, 0, 40}] (* Harvey P. Dale, Oct 11 2012 *)
PROG
(Magma) [Binomial(n, Floor((n-5)/2)): n in [0..40]]; // G. C. Greubel, Jun 21 2022
(SageMath) [binomial(n, (n-5)//2) for n in (0..40)] # G. C. Greubel, Jun 21 2022
(PARI) a(n)=binomial(n, (n-5)\2) \\ Charles R Greathouse IV, Oct 23 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved