A138683 a(1)=1 and, for n>1, a(n) is the smallest integer greater than a(n-1) such that a(n) and a(k) do not sum to a term of A001333 (Numerators of continued fraction convergents to sqrt(2)).

2, 3, 6, 7, 8, 12, 13, 16, 17, 18, 19, 20, 26, 27, 30, 31, 32, 36, 37, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 60, 61, 64, 65, 66, 70, 71, 74, 75, 76, 77, 78, 84, 85, 88, 89, 90, 94, 95, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115

Offset

1,1

Comments

The graph of the first differences (A138684) of this sequence is fractal-like.

Links

Table of n, a(n) for n=1..66.

Crossrefs

Cf. A001333, A005652, A114889, A138684.

Sequence in context: A065193 A116047 A061885 * A072426 A189137 A230548

Adjacent sequences: A138680 A138681 A138682 * A138684 A138685 A138686

Keyword

nonn

Author

John W. Layman, Mar 26 2008

Status

approved