A319599 -id:A319599 - cp's OEIS frontend

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

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Rémy Sigrist, Apr 14 2021

nonn
base

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?

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

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

Cf. A266181, A319599, A343404.

PARI
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\\ See Links section.
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A343405 Numbers k such that A343404(k) = k.

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