proposed

approved

editing

proposed

allocated for Clark KimberlingPositions of 0 in A287561.

1, 7, 12, 14, 20, 22, 25, 31, 35, 40, 42, 45, 50, 53, 59, 64, 67, 72, 74, 77, 82, 85, 91, 96, 97, 103, 108, 110, 116, 118, 121, 127, 132, 134, 137, 143, 147, 152, 154, 157, 162, 165, 171, 176, 177, 183, 188, 190, 194, 197, 203, 208, 209, 215, 220, 222, 228

1,2

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

0 in positions given by A287563,

1 in positions given by A287564,

2 in positions given by A287565,

3 in positions given by A287562.

Clark Kimberling, <a href="/A287562/b287562.txt">Table of n, a(n) for n = 1..10000</a>

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 *)

Cf. A287561, A287563, A287564, A287565.

allocated

nonn,easy

Clark Kimberling, May 31 2017

approved

editing

allocated for Clark Kimberling

allocated

approved