A346782 Numbers k such that A006577(k!) sets a new record.

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, 61, 70, 78, 85, 89, 91, 92, 93, 96, 97, 98, 105, 107, 113, 114, 118, 124, 129, 135, 145, 148, 149, 150, 152, 157, 161, 173, 175, 179, 184, 192, 201, 205, 206, 209, 212, 213

Offset: 1

Author

Hugo Pfoertner, Aug 04 2021

Keywords

• nonn

Crossrefs

The corresponding record numbers of steps are A346783.

Cf. A006577, A070974, A346592, A346593.

Programs

PARI

a6577(n0)={my(n=n0,k=0);while(n>1,k++;n=if(n%2,3*n+1,n/2));k};
a346782(limit)={my(msteps=0);for(k=0,limit,my(m=a6577(k!));if(m>msteps,print1(k,", ");msteps=m))};
a346782(215)