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 A125244 #19 May 09 2025 23:09:21
%S A125244 1,7,17,22,43,343,381,461,543,923,1045,1182,1486,1839,5643,8260,9009,
%T A125244 10947,11793,15915,25151,50923,57095,59977,76513,83383
%N A125244 Numbers k such that binomial(6k, k) - 1 is prime.
%C A125244 a(27) > 100000. - _Robert Price_, May 09 2025
%t A125244 Do[f=Binomial[6n, n]-1; If[PrimeQ[f], Print[n]], {n, 1, 1000}]
%Y A125244 Cf. A125245 = numbers n such that binomial(6n, 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, A125240, A125241, A125242, A125243.
%K A125244 hard,more,nonn
%O A125244 1,2
%A A125244 _Alexander Adamchuk_, Nov 25 2006
%E A125244 More terms from _Ryan Propper_, Mar 28 2007
%E A125244 a(18)-a(21) from _Robert Price_, May 13 2019
%E A125244 a(22)-a(23) from _Georg Grasegger_, May 08 2025
%E A125244 a(24)-a(26) from _Robert Price_, May 09 2025