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 A125245 #12 Jun 23 2025 12:36:30
%S A125245 0,1,2,4,10,15,98,111,118,236,280,512,1284,1303,1818,2525,2692,4620,
%T A125245 8405,11539,13190,21525,30338,48069,50687,56208,56620,81091,101488
%N A125245 Numbers k such that binomial(6k, k) + 1 is prime.
%C A125245 a(25) > 50000. - _Robert Price_, May 13 2019
%t A125245 Do[f=Binomial[6n, n]+1; If[PrimeQ[f], Print[n]], {n, 1, 1000}]
%Y A125245 Cf. A125244 = 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 A125245 hard,more,nonn
%O A125245 1,3
%A A125245 _Alexander Adamchuk_, Nov 25 2006
%E A125245 More terms from _Ryan Propper_, Mar 28 2007
%E A125245 a(1)=0 and a(20)-a(24) from _Robert Price_, May 13 2019
%E A125245 a(25)-a(29) from _Georg Grasegger_, Jun 23 2025