A366140 Fixed points of the binary rotations A336953 and A366139: numbers k >= 0 such that A336953(k) = A366139(k) = k.

0, 1, 2, 3, 6, 7, 8, 10, 12, 15, 20, 25, 30, 31, 36, 42, 45, 48, 54, 60, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 127, 128, 136, 144, 152, 160, 168, 170, 176, 184, 192, 200, 204, 208, 216, 224, 232, 240, 248, 255, 261, 270, 279, 288, 297, 306, 315, 324, 333

Offset: 1

Author

Paolo Xausa, Sep 30 2023

Keywords

• nonn
• base
• easy

Comments

If a number is a fixed point of A336953, then it's also a fixed point of A366139, and vice versa.

k is a term iff A302291(k)|k.

Links

• Paolo Xausa, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A302291, A336953, A366139.

Programs

Mathematica

A366140Q[n_]:=FromDigits[RotateLeft[IntegerDigits[n,2],n],2]==n;
Select[Range[0,500],A366140Q]