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

1,2

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.

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

Example

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

Prog

(PARI) \\ See Links section.

Crossrefs

Cf. A111537, A382217.

Sequence in context: A085768 A166304 A078713 * A175263 A000695 A081345

Adjacent sequences: A382215 A382216 A382217 * A382219 A382220 A382221

Keyword

nonn,base

Author

Rémy Sigrist, Mar 19 2025

Status

approved