A287568 Positions of 1 in A287566.

4, 6, 9, 15, 17, 23, 28, 30, 35, 40, 42, 45, 50, 53, 59, 64, 67, 72, 74, 77, 82, 85, 91, 96, 100, 102, 105, 111, 113, 119, 124, 126, 130, 133, 139, 144, 148, 150, 153, 159, 161, 167, 172, 174, 179, 184, 186, 189, 193, 199, 204, 206, 211, 216, 218, 221, 226

Offset: 1

Author

Clark Kimberling, May 31 2017

Keywords

• nonn
• easy

Comments

a(n) - a(n-1) is in {1,2,3,4,5,6} for n >= 1; also, 4n - a(n) is in {0,1,2,3} for n >= 1. The first 20 numbers 4n - a(n) are 0, 2, 3, 1, 3, 1, 0, 2, 1, 0, 2, 3, 2, 3, 1, 0, 1, 0, 2, 3, with

0 in positions given by A287567,

1 in positions given by A287568,

2 in positions given by A287569,

3 in positions given by A287570.

Links

• Clark Kimberling, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A287566, A287567, A287569, A287570.

Programs

Mathematica

s = Nest[Flatten[# /. {0 -> {0, 2, 3, 1}, 1 -> {2, 3, 2, 0}, 2 -> {3, 1, 0, 2}, 3 -> {1, 0, 2, 3}}] &, {0}, 9];   (* A287566 *)
Flatten[Position[s, 0]]; (* A287567 *)
Flatten[Position[s, 1]]; (* A287568 *)
Flatten[Position[s, 2]]; (* A287569 *)
Flatten[Position[s, 3]]; (* A287570 *)

Formula

a(n) = 4n - A287566(n) for n >= 1.