A285036 - OEIS

A285036

Positions of 1 in A285034; complement of A285035.

1, 3, 7, 10, 11, 13, 15, 19, 22, 23, 27, 28, 32, 33, 35, 37, 41, 44, 45, 49, 50, 52, 54, 58, 59, 61, 65, 68, 69, 71, 73, 77, 80, 81, 83, 85, 89, 92, 93, 97, 98, 102, 103, 105, 107, 111, 114, 115, 119, 120, 122, 124, 128, 129, 131, 135, 138, 139, 143, 144

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OFFSET

1,2

COMMENTS

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

LINKS

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

EXAMPLE

As a word, A285034 = 10100010..., in which 1 is in positions 1,3,7,10,...

MATHEMATICA

s = Nest[Flatten[# /. {0 -> {1, 0}, 1 -> {0, 0, 1}}] &, {0}, 9]; (* A285034 *)

Flatten[Position[s, 0]]; (* A285035 *)