A287563 - OEIS

A287563

Positions of 1 in A287561.

3, 5, 10, 16, 18, 24, 27, 29, 33, 38, 44, 47, 52, 55, 57, 62, 65, 70, 76, 79, 84, 87, 89, 94, 99, 101, 106, 112, 114, 120, 123, 125, 130, 136, 139, 141, 145, 150, 156, 159, 164, 167, 169, 174, 179, 181, 186, 192, 196, 199, 201, 206, 211, 213, 218, 224, 226

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

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 1, 3, 2, 0, 2, 0, 1, 3, 3, 2, 0, 1, 0, 1, 3, 2, 3, 2, 0, 1, with

0 in positions given by A287565,

1 in positions given by A287562,

2 in positions given by A287563,

3 in positions given by A287564.

LINKS

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

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {0, 2, 1, 3}, 1 -> {2, 1, 3, 0}, 2 -> {1, 3, 0, 2}, 3 -> {3, 0, 2, 1}}] &, {0}, 9]; (* A287561 *)

Flatten[Position[s, 0]]; (* A287562 *)

Flatten[Position[s, 1]]; (* A287563 *)

Flatten[Position[s, 2]]; (* A287564 *)

Flatten[Position[s, 3]]; (* A287565 *)