A038121 E.g.f.: (1 + 15*x + (45/2)*x^2 + (5/2)*x^3)/(1 - 2*x)^(13/2).

1, 28, 630, 13860, 315315, 7567560, 192972780, 5237832600, 151242416325, 4638100767300, 150738274937250, 5179915266025500, 187771928393424375, 7164221267933730000, 287080580807915895000, 12057384393932467590000

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

Cf. A000457, A001147, A001879, A001880, A001881.

Column 6 of triangle A001497.

Sequence in context: A004371 A283096 A089908 * A240684 A184329 A070310

Adjacent sequences: A038118 A038119 A038120 * A038122 A038123 A038124

Keyword

nonn

Author

Len Smiley

Status

approved