A343405 Numbers k such that A343404(k) = k.

0, 1, 5, 6, 11, 12, 17, 18, 23, 24, 29, 36, 65, 72, 101, 108, 137, 144, 173, 209, 210, 419, 420, 629, 630, 839, 840, 1049, 1050, 1259, 1260, 1469, 1470, 1679, 1680, 1889, 1890, 2099, 2100, 2309, 2939, 4200, 5670, 7140, 8609, 10079, 11340, 12810, 14280, 15749

Offset

1,3

Comments

If m belongs to this sequence, then the number obtained by removing the leading digit from the expansion of m in primary base also belongs to this sequence.

So the terms of the sequence can be mapped on a tree with root 0 (see illustration in Links section).

Is this sequence infinite?

Links

Rémy Sigrist, Table of n, a(n) for n = 1..1000

Rémy Sigrist, Illustration of the terms < 2*3*5*7*11

Rémy Sigrist, PARI program for A343405

Index entries for sequences related to primorial base

Example

A343404(2099) = 2099, so 2099 belongs to this sequence.

Prog

(PARI) See Links section.

Crossrefs

Cf. A343404.

Sequence in context: A228357 A215033 A047264 * A369273 A277095 A332482

Adjacent sequences: A343402 A343403 A343404 * A343406 A343407 A343408

Keyword

nonn,base

Author

Rémy Sigrist, Apr 14 2021

Status

approved