A350468 a(n) = hypergeom([1/2 - n/2, -n/2], [-n], -56).

1, 1, 15, 29, 239, 645, 3991, 13021, 68895, 251189, 1215719, 4732365, 21752431, 88005541, 392539575, 1624617149, 7120171199, 29864811285, 129547208071, 547654566061, 2361315479055, 10028479403909, 43086896110679, 183485607765405, 786702153314911, 3355500662030581

Offset

0,3

Links

Andrew Howroyd, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (1,14).

Formula

a(n) ~ (1 + sqrt(57))^(n+1) / (sqrt(57) * 2^(n+1)). - Vaclav Kotesovec, Feb 18 2024

G.f.: 1/(1 - x - 14*x^2). - Andrew Howroyd, Nov 15 2025

E.g.f.: exp(x/2)*(sqrt(57)*cosh(sqrt(57)*x/2) + sinh(sqrt(57)*x/2))/sqrt(57). - Stefano Spezia, Nov 16 2025

Mathematica

Table[HypergeometricPFQ[{1/2 - n/2, -n/2}, {-n}, -56], {n, 0, 30}] (* Vaclav Kotesovec, Feb 18 2024 *)

Crossrefs

a(n) = A350470(7, n).

Sequence in context: A202512 A014095 A192356 * A196184 A201136 A200896

Adjacent sequences: A350465 A350466 A350467 * A350469 A350470 A350471

Keyword

nonn,easy

Author

Peter Luschny, Mar 19 2022

Status

approved