A087660 - OEIS

%I #11 Jul 05 2018 11:17:25

%S 4,25,228,2620,35164,527663,8613004,150142594,2759219428,52953913663,

%T 1053779339980,21624992868276,455655808661008,9823903635742978,

%U 216106936268122100,4839230922051864504,110093028451517403276,2540412583358390378215,59374626887737992823372

%N Values of a certain hypergeometric function. Not known to be always integer-valued.

%F a(n) = 4*hypergeom([ -n, n/2+5/2, n/2+3], [4, 2], -4).

%F Recurrence: (n+3)^2*(n+4)*(3*n - 2)*(3*n + 1)*a(n) = 10*(n+1)*(n+3)*(3*n - 2)*(3*n + 2)^2*a(n-1) - (n-1)*(n+1)*(3*n + 4)*(9*n^2 - 15*n + 14)*a(n-2) + (n-4)*(n-2)*(n-1)*(3*n + 1)*(3*n + 4)*a(n-3). - _Vaclav Kotesovec_, Jul 05 2018

%t a[n_] := 4*HypergeometricPFQ[{-n, (n + 5)/2, n/2 + 3}, {4, 2}, -4];

%t Table[a[n], {n, 0, 16}] (* _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