A370234 a(n) = hypergeom([-n, 1 + n, 2 + n, -1 - n], [1/2, 1/2, 1], 1/16). Row sums of A370233.

1, 4, 24, 143, 881, 5534, 35213, 226238, 1464382, 9534594, 62377881, 409717004, 2700168229, 17845927498, 118238842174, 785086422265, 5222747607607, 34802614713382, 232261844100109, 1552139710253683, 10385180872126402, 69563083672190704, 466425975579323539

Offset

0,2

Links

Table of n, a(n) for n=0..22.

Formula

a(n) ~ phi^(4*n+4) / (2^(3/2) * 5^(1/4) * sqrt(Pi*n)), where phi = A001622 is the golden ratio. - Vaclav Kotesovec, Feb 18 2024

Mathematica

Table[HypergeometricPFQ[{-1 - n, -n, 1 + n, 2 + n}, {1/2, 1/2, 1}, 1/16], {n, 0, 25}] (* Vaclav Kotesovec, Feb 18 2024 *)

Prog

(PARI) a(n) = round(hypergeom([-n, 1 + n, 2 + n, -1 - n], [1/2, 1/2, 1], 1/16)); \\ Michel Marcus, Feb 13 2024

Crossrefs

Cf. A370233.

Sequence in context: A204199 A005319 A155119 * A114169 A121102 A307526

Adjacent sequences: A370231 A370232 A370233 * A370235 A370236 A370237

Keyword

nonn

Author

Peter Luschny, Feb 13 2024

Status

approved