A284365 Positions of 0 in A284364; complement of A284366.

2, 4, 6, 9, 11, 13, 16, 18, 20, 23, 25, 27, 29, 31, 33, 36, 38, 40, 43, 45, 47, 50, 52, 54, 56, 58, 60, 63, 65, 67, 70, 72, 74, 77, 79, 81, 83, 85, 87, 90, 92, 94, 97, 99, 101, 104, 106, 108, 111, 113, 115, 118, 120, 122, 125, 127, 129, 131, 133, 135, 138

Offset

1,1

Comments

Conjecture: -2 < n*r - a(n) < 2 for n >= 1, where r = (9+sqrt(21))/6.

Conjecture: The asymptotic density of this sequence is (9-sqrt(21))/10 = 0.441742... . - Amiram Eldar, Apr 13 2025

Links

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

Example

The first 6 letters of the word in A284364 are 101010, in which the positions of 0 are 2,4,6.

Mathematica

s = Nest[Flatten[# /. {0 -> {1}, 1 -> {1, 0, 1, 0, 1, 0}}] &, {0}, 10] (* A284364 *)
Flatten[Position[s, 0]]  (* A284365 *)
Flatten[Position[s, 1]]  (* A284366 *)

Crossrefs

Cf. A284364, A284366.

Sequence in context: A322532 A380420 A383009 * A059545 A187339 A292649

Adjacent sequences: A284362 A284363 A284364 * A284366 A284367 A284368

Keyword

nonn,easy

Author

Clark Kimberling, Mar 26 2017

Status

approved