A079471 Fixed points of reversed binary words in reversed lexicographic order.

0, 1, 6, 10, 18, 34, 60, 66, 92, 108, 116, 130, 156, 172, 180, 204, 212, 228, 258, 284, 300, 308, 332, 340, 356, 396, 404, 420, 452, 514, 540, 556, 564, 588, 596, 612, 652, 660, 676, 708, 780, 788, 804, 836, 900, 1026, 1052, 1068, 1076, 1100, 1108, 1124

Offset: 0

Author

Joerg Arndt, Jan 15 2003

Keywords

• easy
• nonn

Comments

These are 0 and the words where the bit count is 2^i where i is the index of the lowest set bit.

Examples

			Zero is a fixed point: 0: ...........
The next few in decimal and binary form (dots for zeros), lowest (rightmost) bit has index zero are:
1: ............1
6: ..........11.
10: ........1.1.
18: .......1..1.
34: ......1...1.
60: ......1111..
66: .....1....1.
92: .....1.111..
108: ....11.11..
116: ....111.1..
130: ...1.....1.
		

Links

• Paolo Xausa, Table of n, a(n) for n = 0..10000
• Joerg Arndt, Fxtbook, section 1.26.4 "The sequence of fixed points", p.73-74

Programs

Mathematica

Join[{0},Select[Range[10^4],DigitCount[#,2,1]==2^IntegerExponent[#,2]&]] (* Paolo Xausa, Nov 13 2023 *)