OFFSET
0,9
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
FORMULA
(n+7)*(n-6)*a(n) = 2*n*a(n-1) + 4*n*(n-1)*a(n-2). - R. J. Mathar, Jul 26 2015
From G. C. Greubel, Jun 20 2022: (Start)
G.f.: ((1 + x - 7*x^2 - 6*x^3 + 14*x^4 + 9*x^5 - 7*x^6 - 2*x^7) - (1 + x - 5*x^2 - 4*x^3 + 6*x^4 + 3*x^5 - x^6)*sqrt(1-4*x^2))/(2*x^7*sqrt(1-4*x^2)).
E.g.f.: BesselI(6, 2*x) + BesselI(7, 2*x). (End)
MATHEMATICA
Table[Binomial[n, Floor[(n-6)/2]], {n, 0, 40}] (* Harvey P. Dale, May 16 2017 *)
PROG
(Magma) [Binomial(n, Floor((n-6)/2)): n in [0..40]]; // G. C. Greubel, Jun 20 2022
(SageMath) [binomial(n, (n-6)//2) for n in (0..40)] # G. C. Greubel, Jun 20 2022
(PARI) a(n)=binomial(n, n\2-3) \\ Charles R Greathouse IV, Oct 23 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved