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

1,1

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.

Sequence in context: A360551 A306999 A246048 * A290648 A336549 A136155

Adjacent sequences: A348248 A348249 A348250 * A348252 A348253 A348254

Keyword

nonn

Author

N. J. A. Sloane, Oct 21 2021

Status

approved