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 A346782 #5 Aug 04 2021 07:44:16 %S A346782 2,3,4,5,7,8,9,11,12,14,17,21,26,29,33,34,37,44,45,47,48,51,52,55,58, %T A346782 61,70,78,85,89,91,92,93,96,97,98,105,107,113,114,118,124,129,135,145, %U A346782 148,149,150,152,157,161,173,175,179,184,192,201,205,206,209,212,213 %N A346782 Numbers k such that A006577(k!) sets a new record. %o A346782 (PARI) a6577(n0)={my(n=n0,k=0);while(n>1,k++;n=if(n%2,3*n+1,n/2));k}; %o A346782 a346782(limit)={my(msteps=0);for(k=0,limit,my(m=a6577(k!));if(m>msteps,print1(k,", ");msteps=m))}; %o A346782 a346782(215) %Y A346782 The corresponding record numbers of steps are A346783. %Y A346782 Cf. A006577, A070974, A346592, A346593. %K A346782 nonn %O A346782 1,1 %A A346782 _Hugo Pfoertner_, Aug 04 2021