A153029 Special rounded values of the generalized hypergeometric function of the type 5F0.

1, 1, 1, 1, 1, 16, 91, 2679, 38641, 1787941, 49219381, 3272794719, 147764521081, 13316891432131, 897003497620231, 105118238883221315, 9899589649059976321

Offset

0,6

Links

Table of n, a(n) for n=0..16.

Formula

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

Maple

A153029 := proc(n)
    hypergeom([ -n/2, 1/2-n/2, 1-n/2, 3/2-n/2, 2-n/2], [], -4) ;
    simplify(%) ;  ceil(%) ;
end proc:
seq(A153029(n), n=0..30) ; # R. J. Mathar, Jul 27 2022

Mathematica

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 *)

Crossrefs

Cf. A153028.

Sequence in context: A240292 A050406 A047674 * A170920 A027938 A301527

Adjacent sequences: A153026 A153027 A153028 * A153030 A153031 A153032

Keyword

nonn

Author

Karol A. Penson, Dec 17 2008

Status

approved