A287567 Positions of 0 in A287566.

1, 7, 10, 16, 18, 24, 25, 31, 36, 37, 43, 46, 51, 54, 60, 61, 68, 69, 75, 78, 83, 86, 92, 93, 97, 103, 106, 112, 114, 120, 121, 127, 131, 134, 140, 141, 145, 151, 154, 160, 162, 168, 169, 175, 180, 181, 187, 190, 194, 200, 201, 207, 212, 213, 219, 222, 227

Offset: 1

Author

Clark Kimberling, May 31 2017

Keywords

• nonn
• easy

Comments

a(n) - a(n-1) is in {1,2,3,4,5,6,7} for n >= 1; also, 4n - a(n) is in {0,1,2,3} for n >= 1. The first 20 numbers 4n - a(n) are 3, 1, 2, 0, 2, 0, 3, 1, 0, 3, 1, 2, 1, 2, 0, 3, 0, 3, 1, 2, with

0 in positions given by A287568,

1 in positions given by A287569,

2 in positions given by A287570,

3 in positions given by A287567.

Links

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

Crossrefs

Cf. A287566, A287568, 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 *)