A287552 Positions of 0 in A053839.

1, 8, 11, 14, 20, 23, 26, 29, 35, 38, 41, 48, 50, 53, 60, 63, 68, 71, 74, 77, 83, 86, 89, 96, 98, 101, 108, 111, 113, 120, 123, 126, 131, 134, 137, 144, 146, 149, 156, 159, 161, 168, 171, 174, 180, 183, 186, 189, 194, 197, 204, 207, 209, 216, 219, 222, 228

Offset

1,2

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

0 in positions given by A287553,

1 in positions given by A287554,

2 in positions given by A287555,

3 in positions given by A287552.

Links

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

Mathematica

s = Nest[Flatten[# /. {0 -> {0, 1, 2, 3}, 1 -> {1, 2, 3, 0}, 2 -> {2, 3, 0, 1}, 3 -> {3, 0, 1, 2}}] &, {0}, 9];  (* A053839 *)
Flatten[Position[s, 0]]; (* A287552 *)
Flatten[Position[s, 1]]; (* A287553 *)
Flatten[Position[s, 2]]; (* A287554 *)
Flatten[Position[s, 3]]; (* A287555 *)

Crossrefs

Cf. A053839, A287553, A287554, A287555.

Sequence in context: A061570 A096679 A262443 * A275191 A279776 A101573

Adjacent sequences: A287549 A287550 A287551 * A287553 A287554 A287555

Keyword

nonn,easy

Author

Clark Kimberling, May 31 2017

Status

approved