A382218 Fixed points of A382217.

1, 4, 5, 16, 17, 18, 19, 20, 21, 22, 23, 64, 65, 66, 67, 68, 69, 70, 71, 76, 77, 82, 83, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 304, 305, 306, 307, 308

Offset: 1

Author

Rémy Sigrist, Mar 19 2025

Keywords

• nonn
• base

Comments

This sequence corresponds to positive integers with factorial base expansion (d_1, ..., d_w) (where d_1 > 0) such that for any i in 2..w, there is some j in 1..i-1 such that d_j > i-j.

Empirically, there are A111537(w+1) terms with w factorial base digits.

Examples

			A382217(5) = 5, so the number 5 belongs to this sequence.
A382217(6) = 1, so the number 6 does not belong to this sequence.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000
• Rémy Sigrist, PARI program
• Index entries for sequences related to factorial base representation

Crossrefs

Cf. A111537, A382217.

Programs

PARI

\\ See Links section.