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%I #11 Jul 05 2018 11:20:21
%S 15,99,891,9825,125085,1772775,27303603,449394792,7809206685,
%T 141975690765,2681773580205,52342675041564,1051034305996356,
%U 21635329605783960,455225821135429270,9766746945640199070,213227240437260707169,4728776305725359233781
%N Values of a certain hypergeometric function. Not known to be always integer-valued.
%F a(n) = 15*hypergeom([ -n, n/2+3, n/2+7/2], [5, 2], -4).
%F Recurrence: (n+4)^2*(n+5)*(3*n - 1)*(3*n + 1)*(3*n + 2)*a(n) = 6*(n+4)*(3*n - 1)*(45*n^4 + 180*n^3 + 264*n^2 + 151*n + 20)*a(n-1) - 3*(n-1)*(3*n + 5)*(9*n^4 + 9*n^3 - 2*n^2 + 68*n + 16)*a(n-2) + (n-5)*(n-2)*(n-1)*(3*n + 2)*(3*n + 4)*(3*n + 5)*a(n-3). - _Vaclav Kotesovec_, Jul 05 2018
%t a[n_] := 15*HypergeometricPFQ[{-n, n/2 + 3, (n + 7)/2}, {5, 2}, -4];
%t Table[a[n], {n, 0, 15}] (* _Jean-François Alcover_, Feb 19 2018 *)
%Y Cf. A087659-A087662.
%K nonn
%O 0,1
%A _Bill Gosper_, Sep 26 2003
%E More terms from _Vladeta Jovovic_, Sep 30 2003
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