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A333125 a(n) = binomial(Fibonacci(n),n). 1
1, 1, 0, 0, 0, 1, 28, 1716, 203490, 52451256, 29248649430, 36519676207704, 103619293824707388, 681222021538453426360, 10526080837282875691177000, 387340445158332035685509830240, 34306348668342682111244774082795555, 7379087300345635546662027722168990277849 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

Andrew Nelson, Table of n, a(n) for n = 0..50

FORMULA

a(n) ~ phi^(n^2) * exp(n) / (sqrt(2*Pi) * 5^(n/2) * n^(n + 1/2)), where phi = A001622 = (1+sqrt(5))/2 is the golden ratio.

MATHEMATICA

Table[Binomial[Fibonacci[n], n], {n, 0, 20}]

PROG

(PARI) a(n) = binomial(fibonacci(n), n); \\ Michel Marcus, Mar 10 2020

CROSSREFS

Cf. A000045, A014070.

Sequence in context: A190397 A004705 A182400 * A197438 A263026 A294192

Adjacent sequences:  A333122 A333123 A333124 * A333126 A333127 A333128

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Mar 08 2020, following a suggestion of Andrew Nelson

STATUS

approved

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Last modified June 21 19:12 EDT 2021. Contains 345365 sequences. (Running on oeis4.)