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A288999

Positions of 1 in A288997; complement of A288998.

3, 7, 10, 14, 17, 20, 24, 27, 31, 34, 37, 41, 44, 48, 51, 55, 58, 61, 65, 68, 72, 75, 78, 82, 85, 89, 92, 96, 99, 102, 106, 109, 113, 116, 119, 123, 126, 130, 133, 136, 140, 143, 147, 150, 154, 157, 160, 164, 167, 171, 174, 177, 181, 184, 188, 191, 195, 198

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OFFSET

1,1

COMMENTS

Conjecture: a(n)/n -> 2 + sqrt(2), and -1 < 2 + sqrt(2) - a(n)/n < -1 + sqrt(2) for n >= 1.

LINKS

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

FORMULA

a(n) = 2n+round(n*sqrt(2)) (conjectured). - Chai Wah Wu, Feb 06 2025

MATHEMATICA

z = 10; (* number of iterates *)

s = {0, 0}; w[0] = StringJoin[Map[ToString, s]];