A348251 Numbers that take more than the minimum number of steps to appear in A307730.

6, 12, 14, 15, 21, 24, 26, 36, 38, 39, 45, 56, 57, 58, 63, 65, 72, 74, 78, 85, 86, 87, 90, 91, 99, 106, 110, 111, 115, 119, 122, 126, 129, 132, 135, 138, 142, 143, 145, 150, 158, 159, 161, 165, 171, 174, 175, 176, 178, 183, 185, 187, 190, 202, 203, 209, 213, 214, 215, 216, 220, 222, 226, 230, 231

Offset: 1

Author

N. J. A. Sloane, Oct 21 2021

Keywords

• nonn

Comments

The total number of appearances of a number n in A307730 is required to be n. For the numbers listed here, those appearances are spread out over more than n terms of A307730.

These are the numbers n for which A348250(n) is nonzero.

It would be nice to have an independent characterization of these numbers. It is a theorem that no primes can appear, but what more can be said? The graph is roughly linear, and the first differences are small but irregular.

Links

• N. J. A. Sloane, Table of n, a(n) for n = 1..3642

Crossrefs

Cf. A307720, A307730, A348246, A348249, A348409, A348250.