A346592 Numbers k such that A006577(k^2) sets a new record.

2, 3, 5, 7, 10, 11, 22, 35, 45, 49, 51, 77, 123, 143, 269, 419, 429, 765, 1011, 1395, 1989, 2165, 3335, 3827, 7179, 9005, 18010, 36020, 41453, 82906, 92099, 184198, 268509, 272767, 469347, 563273, 1126546, 1224197, 2172433, 2303171, 2825329, 5650658, 9295309, 10741519

Offset: 1

Author

Hugo Pfoertner, Jul 28 2021

Keywords

• nonn

Crossrefs

Cf. A006577, A006877, A244638, A346591, A346593.

Programs

PARI

a6577(n0)={my(n=n0,k=0);while(n>1,k++;n=if(n%2,3*n+1,n/2));k};
a346592(limit)={msteps=0;for(k=1,limit,my(m=a6577(k^2));if(m>msteps,print1(k,", ");msteps=m))};
a346592(1500000)