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A299506 a(n) = hypergeom([-n, n - 1/2], [1], -4). 2
1, 3, 43, 661, 10515, 171097, 2828101, 47284251, 797456947, 13540982665, 231188344401, 3964874384863, 68252711769373, 1178662654873191, 20409993947488075, 354260920943874245, 6161735337225790035, 107368528677807960185, 1873946997372948997345, 32754419073618998202975 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
From Vaclav Kotesovec, Jul 05 2018: (Start)
Recurrence: n*(2*n - 3)*(4*n - 7)*a(n) = 9*(4*n - 5)*(4*n^2 - 10*n + 5)*a(n-1) - (n-1)*(2*n - 5)*(4*n - 3)*a(n-2).
a(n) ~ 2^(-3/2) * sqrt(5) * phi^(6*n - 3/2) / sqrt(Pi*n), where phi = A001622 = (1 + sqrt(5))/2 is the golden ratio. (End)
MATHEMATICA
a[n_] := Hypergeometric2F1[-n, n - 1/2, 1, -4]; Table[a[n], {n, 0, 19}]
CROSSREFS
Sequence in context: A199020 A211959 A283514 * A350924 A141060 A361878
KEYWORD
nonn
AUTHOR
Peter Luschny, Mar 16 2018
STATUS
approved

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Last modified March 28 07:48 EDT 2024. Contains 371235 sequences. (Running on oeis4.)