A287676 - OEIS

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A287676

Positions of 1 in A287674; complement of A287675.

1, 4, 5, 6, 9, 10, 13, 14, 15, 18, 19, 20, 23, 24, 27, 28, 29, 32, 33, 36, 37, 38, 41, 42, 43, 46, 47, 50, 51, 52, 55, 56, 57, 60, 61, 64, 65, 66, 69, 70, 73, 74, 75, 78, 79, 80, 83, 84, 87, 88, 89, 92, 93, 96, 97, 98, 101, 102, 103, 106, 107, 110, 111, 112

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Conjecture: -1 < n*r - a(n) < 2 for n >= 1, where r = 4 - sqrt(5).

LINKS

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

FORMULA

Conjecture: a(n) = 5*n + 2 - 2 * floor((n+1)*phi), where phi is the golden mean. - Chunqing Liu, Sep 27 2023

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {0, 1}, 1 -> {0}}] &, {0}, 10] (* A003849 *)

w = StringJoin[Map[ToString, s]]