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A370234
a(n) = hypergeom([-n, 1 + n, 2 + n, -1 - n], [1/2, 1/2, 1], 1/16). Row sums of A370233.
1
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
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
KEYWORD
nonn
AUTHOR
Peter Luschny, Feb 13 2024
STATUS
approved