A344162 a(n) is the position in A342910 of the base-2 representation of n.

2, 5, 8, 11, 14, 17, 26, 20, 23, 29, 41, 35, 44, 53, 80, 32, 38, 47, 65, 56, 68, 83, 122, 62, 71, 89, 125, 107, 134, 161, 50, 59, 74, 101, 86, 104, 128, 185, 95, 110, 137, 191, 164, 98, 116, 143, 197, 170, 188, 77, 92, 113, 155, 131, 158, 194, 146, 167, 149

Offset

1,1

Comments

Conjecture: ((a(n)-2)/3) is a permutation of the nonnegative integers. See A342910 for a guide to related sequences.

Links

Table of n, a(n) for n=1..59.

Formula

a(n) == 2 (mod 3). - Hugo Pfoertner, Jun 02 2021

Example

The positions of 1,2,3,4, in base 2 can be read from a list of the first 20 words in A342910: 0, 1, 00, 01, 10, 000, 001, 11, 010, 0000, 100, 0001, 011, 101, 0010, 00000, 110, 0100, 00001, 1000; so a(1) = 2, a(2) = 8.

Mathematica

(See A342910.)

Crossrefs

Cf. A342910, A342786.

Sequence in context: A135677 A355135 A192585 * A163516 A000093 A324476

Adjacent sequences: A344159 A344160 A344161 * A344163 A344164 A344165

Keyword

nonn,base

Author

Clark Kimberling, Jun 01 2021

Status

approved