A153029 - OEIS

%I #20 Jul 27 2022 10:34:23

%S 1,1,1,1,1,16,91,2679,38641,1787941,49219381,3272794719,147764521081,

%T 13316891432131,897003497620231,105118238883221315,9899589649059976321

%N Special rounded values of the generalized hypergeometric function of the type 5F0.

%F a(n) = ceiling( 5F0(-n/2,1/2-n/2,1-n/2,3/2-n/2,2-n/2;;-4) ).

%p A153029 := proc(n)

%p     hypergeom([ -n/2,1/2-n/2,1-n/2,3/2-n/2,2-n/2],[],-4) ;

%p     simplify(%) ;  ceil(%) ;

%p end proc:

%p seq(A153029(n),n=0..30) ; # _R. J. Mathar_, Jul 27 2022

%t Table[Ceiling[HypergeometricPFQ[{-n/2, 1/2 - n/2, 1 - n/2, 3/2 - n/2, 2 - n/2}, {}, -4]], {n, 0, 20}] (* _Vaclav Kotesovec_, Jul 05 2018 *)

%Y Cf. A153028.

%K nonn

%O 0,6

%A _Karol A. Penson_, Dec 17 2008