A287579 - OEIS

A287579

Positions of 2 in A287576.

3, 8, 9, 14, 18, 23, 28, 29, 33, 38, 43, 48, 52, 53, 58, 63, 68, 69, 74, 79, 83, 88, 89, 94, 98, 103, 108, 109, 113, 118, 123, 128, 129, 134, 139, 144, 148, 149, 154, 159, 163, 168, 169, 174, 178, 183, 188, 189, 194, 199, 204, 205, 209, 214, 219, 224, 228

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

OFFSET

1,1

COMMENTS

a(n) - a(n-1) is in {1,4,5} 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, 0, 3, 2, 2, 1, 0, 3, 3, 2, 1, 0, 0, 3, 2, 1, 0, 3, 2, 1, with

0 in positions given by A287580,

1 in positions given by A287577,

2 in positions given by A287578,

3 in positions given by A287579.

LINKS

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

FORMULA

a(n) = 4n - A287576(n) for n >= 1.

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {0, 3, 2, 1}, 1 -> {3, 2, 1, 0}, 2 -> {2, 1, 0, 3}, 3 -> {1, 0, 3, 2}}] &, {0}, 9]; (* A287576 *)

Flatten[Position[s, 0]]; (* A287577 *)

Flatten[Position[s, 1]]; (* A287578 *)