A393835 Lexicographically earliest sequence of distinct nonnegative integers such that for any n >= 0, A393834(n, a(n)) = 1.

0, 2, 1, 6, 4, 7, 3, 5, 8, 18, 10, 19, 12, 14, 13, 20, 16, 21, 9, 11, 15, 17, 22, 24, 23, 26, 25, 54, 28, 55, 30, 32, 31, 56, 34, 57, 36, 38, 37, 42, 40, 43, 39, 41, 44, 58, 46, 59, 48, 50, 49, 60, 52, 61, 27, 29, 33, 35, 45, 47, 51, 53, 62, 72, 64, 73, 66, 68

Offset

0,2

Comments

A self-inverse permutation of the nonnegative integers.

This sequence is to A393834 what A004488 is to A153490.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..6560

Rémy Sigrist, PARI program

Index entries for sequences that are permutations of the natural numbers

Formula

a(n) < 3^k iff n < 3^k for any k >= 0.

Example

The first terms, scattered on the variant of Sierpinski carpet A393834 are:
         # # # # # # # # 8
         #   # #   7 #   #
         # # # 6 # # # # #
         # # #       # 5 #
         #   #   4   #   #
         # # #       3 # #
         # 2 # # # # # # #
         #   1 #   # #   #
         0 # # # # # # # #

Prog

(PARI) \\ See Links section.

Crossrefs

Cf. A004488, A153490, A393834.

Sequence in context: A021466 A286259 A257134 * A121403 A155550 A355642

Adjacent sequences: A393832 A393833 A393834 * A393836 A393837 A393838

Keyword

nonn,base

Author

Rémy Sigrist, Apr 03 2026

Status

approved