A287435 Positions of 0 in A053838.

1, 6, 8, 12, 14, 16, 20, 22, 27, 30, 32, 34, 38, 40, 45, 46, 51, 53, 56, 58, 63, 64, 69, 71, 75, 77, 79, 84, 86, 88, 92, 94, 99, 100, 105, 107, 110, 112, 117, 118, 123, 125, 129, 131, 133, 136, 141, 143, 147, 149, 151, 155, 157, 162, 164, 166, 171, 172, 177

Offset: 1

Author

Clark Kimberling, May 26 2017

Keywords

• nonn
• easy

Comments

a(n) - a(n-1) is in {1,2,3,4,5} for n >= 1; also, 3n - a(n) is in {0, 1, 2} for n >= 1. The first 20 numbers 3n - a(n) are 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, with 0 in positions given by A287436, 1 is in positions given by A287437, and 2 in positions given by A287435.

Does this differ from A026601? - R. J. Mathar, Jun 14 2017

Links

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

Crossrefs

Cf. A053838, A287436, A287437.

Programs

Mathematica

s = Nest[Flatten[# /. {0->{0, 1, 2}, 1->{1, 2, 0}, 2->{2, 0, 1}}] &, {0}, 9]; (* A053838 *)
Flatten[Position[s, 0]]; (* A287435 *)
Flatten[Position[s, 1]]; (* A287436 *)
Flatten[Position[s, 2]]; (* A287437 *)

Extensions

The definition refers to a different offset in A053838. - R. J. Mathar, May 30 2017