OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Selden Crary, Richard Diehl Martinez, Michael Saunders, The Nu Class of Low-Degree-Truncated Rational Multifunctions. Ib. Integrals of Matern-correlation functions for all odd-half-integer class parameters, arXiv:1707.00705 [stat.ME], 2017, Table 1.
FORMULA
a(n) = (2n+6)! / (6!*n!*2^n).
n*a(n) - (n+3)*(2*n+5)*a(n-1) = 0. - R. J. Mathar, Oct 31 2015
MATHEMATICA
Table[(2n+6)!/(6!*n!*2^n), {n, 0, 20}] (* Vincenzo Librandi, Nov 22 2011 *)
PROG
(Magma) [Factorial(2*n+6)/ (720*Factorial(n)*2^n): n in [0..20]]; // Vincenzo Librandi, Nov 22 2011
(PARI) x='x+O('x^50); Vec(serlaplace((1+15*x+45/2*x^2+5/2*x^3)/(1-2*x)^(13/2))) \\ G. C. Greubel, Aug 13 2017
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved