A284913 -id:A284913

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A284914

Positions of 1 in A284912; complement of A284913.

+20
3

2, 3, 5, 7, 9, 12, 13, 15, 18, 19, 21, 24, 25, 27, 30, 32, 33, 35, 37, 39, 42, 43, 45, 48, 50, 51, 53, 55, 57, 60, 61, 63, 66, 68, 69, 71, 73, 75, 78, 79, 81, 84, 86, 87, 89, 92, 93, 95, 97, 99, 102, 103, 105, 108, 109, 111, 114, 115, 117, 120, 122, 123, 125

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OFFSET

1,1

COMMENTS

2n - a(n) is in {0,1} for n >= 1.

LINKS

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

EXAMPLE

As a word, A284912 = 011010101..., in which 1 is in positions 2,3,5,7,9,...

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {1, 0, 1, 0}}] &, {0}, 6] (* A284912 *)

Flatten[Position[s, 0]] (* A284913 *)

Flatten[Position[s, 1]] (* A284914 *)

CROSSREFS

Cf. A284912, A284913.

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 17 2017

STATUS

approved

A284912

Fixed point of the morphism 0 -> 01, 1 -> 1010.

+10
3

0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1