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

Author

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

Keywords

• nonn
• more

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.

Crossrefs

Cf A336957.