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 A125240 #12 Sep 15 2024 14:40:37
%S A125240 1,16,36,67,95,369,383,745,1599,2006,2104,2879,3061,9048,9902,12369,
%T A125240 15058,18858,21287,22759,24674,33899,43730,55078,86085
%N A125240 Numbers k such that binomial(4k, k) - 1 is prime.
%C A125240 a(26) > 10^5 - _Robert Price_, Sep 15 2024
%t A125240 Do[f=Binomial[4n, n]-1; If[PrimeQ[f], Print[n]], {n, 1, 1000}]
%Y A125240 Cf. A125241 = numbers n such that binomial(4n, n) + 1 is prime. Cf. A066699 = numbers n such that binomial(2n, n) + 1 is prime. Cf. A066726 = numbers n such that binomial(2n, n) - 1 is prime. Cf. A125220, A125221, A125242, A125243, A125244, A125245.
%K A125240 hard,more,nonn
%O A125240 1,2
%A A125240 _Alexander Adamchuk_, Nov 25 2006
%E A125240 More terms from _Ryan Propper_, Mar 28 2007
%E A125240 a(16)-a(23) from _Robert Price_, Apr 30 2019
%E A125240 a(24)-a(25) from _Robert Price_, Sep 15 2024