A338050 Fixed points in A336957.

1, 2, 10, 90, 106, 150, 162, 246, 394, 398, 406, 410, 442, 602, 1106, 1246, 1390, 1482, 1666, 1846, 5524, 6068, 6124, 6976, 35562, 42618, 42726, 45618, 1271596, 2634332, 2766702

Offset

1,2

Comments

These are the values of n such that A336957(n) = n. Is this sequence finite or infinite?. We do not know. Also, why are the terms (except the first, which is special) even?

The known values of n such that A336957(n) = n+1 are 43, 103, 191, 203, 207, 211, 243, 247, 251, 287, 291, 303, 327, 399, 8133, 71071, 579451, 10955983. Are there more terms? We do not know. Also, why are all the terms odd?

The known values of n such that A336957(n) = n-1 are 31, 87, 187, 215, 255, 283, 307, 315, 347, 551, 10697, 30525, 46195, 478607, 3856311, 6405255. Same questions!

All these values were computed from Frank Stevenson's file of the first 11333576 terms of A336957.

Links

Table of n, a(n) for n=1..31.

Crossrefs

Cf A336957.

Sequence in context: A326554 A055779 A363425 * A366268 A198434 A326089

Adjacent sequences: A338047 A338048 A338049 * A338051 A338052 A338053

Keyword

nonn,more

Author

Scott R. Shannon and N. J. A. Sloane, Oct 10 2020

Status

approved