A345201 Bit-reverse the odd part of the Zeckendorf representation of n: a(n) = A022290(A057889(A003714(n))).

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 19, 18, 17, 20, 21, 22, 23, 24, 30, 26, 27, 31, 29, 25, 28, 32, 33, 34, 35, 36, 37, 48, 39, 43, 49, 42, 40, 44, 50, 53, 47, 38, 41, 45, 51, 52, 46, 54, 55, 56, 57, 58, 77, 60, 69, 78, 63, 64, 70, 79, 85

Offset: 0

Author

Rémy Sigrist, Jun 10 2021

Keywords

• nonn
• base

Comments

This sequence is a self-inverse permutation of the nonnegative integers.

This sequence is similar to A343150 and to A344682.

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..10946
• Rémy Sigrist, PARI program for A345201
• Rémy Sigrist, Alternate PARI program for A345201
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A000045, A003714, A022290, A057889, A343150, A344682.

Programs

PARI

See Links section.

Formula

a(n) < A000045(k) for any n < A000045(k).