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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)). 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 24 04:54 EDT 2014. Contains 240947 sequences.