This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A333125 #17 Mar 11 2020 11:56:04 %S A333125 1,1,0,0,0,1,28,1716,203490,52451256,29248649430,36519676207704, %T A333125 103619293824707388,681222021538453426360,10526080837282875691177000, %U A333125 387340445158332035685509830240,34306348668342682111244774082795555,7379087300345635546662027722168990277849 %N A333125 a(n) = binomial(Fibonacci(n),n). %H A333125 Andrew Nelson, <a href="/A333125/b333125.txt">Table of n, a(n) for n = 0..50</a> %F A333125 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. %t A333125 Table[Binomial[Fibonacci[n], n], {n, 0, 20}] %o A333125 (PARI) a(n) = binomial(fibonacci(n), n); \\ _Michel Marcus_, Mar 10 2020 %Y A333125 Cf. A000045, A014070. %K A333125 nonn %O A333125 0,7 %A A333125 _Vaclav Kotesovec_, Mar 08 2020, following a suggestion of _Andrew Nelson_