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%I #21 Sep 08 2022 08:44:53
%S 1,28,630,13860,315315,7567560,192972780,5237832600,151242416325,
%T 4638100767300,150738274937250,5179915266025500,187771928393424375,
%U 7164221267933730000,287080580807915895000,12057384393932467590000
%N E.g.f.: (1 + 15*x + (45/2)*x^2 + (5/2)*x^3)/(1 - 2*x)^(13/2).
%H Vincenzo Librandi, <a href="/A038121/b038121.txt">Table of n, a(n) for n = 0..200</a>
%H Selden Crary, Richard Diehl Martinez, Michael Saunders, <a href="https://arxiv.org/abs/1707.00705">The Nu Class of Low-Degree-Truncated Rational Multifunctions. Ib. Integrals of Matern-correlation functions for all odd-half-integer class parameters</a>, arXiv:1707.00705 [stat.ME], 2017, Table 1.
%F a(n) = (2n+6)! / (6!*n!*2^n).
%F n*a(n) - (n+3)*(2*n+5)*a(n-1) = 0. - _R. J. Mathar_, Oct 31 2015
%t Table[(2n+6)!/(6!*n!*2^n),{n,0,20}] (* _Vincenzo Librandi_, Nov 22 2011 *)
%o (Magma) [Factorial(2*n+6)/ (720*Factorial(n)*2^n): n in [0..20]]; // _Vincenzo Librandi_, Nov 22 2011
%o (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
%Y Cf. A000457, A001147, A001879, A001880, A001881.
%Y Column 6 of triangle A001497.
%K nonn
%O 0,2
%A _Len Smiley_
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