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Floor(n*alpha)-1, where alpha is the number with continued fraction expansion [1;1,2,3,4,5,...] (A247844).
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%I #8 May 23 2018 08:10:35

%S 0,2,4,5,7,9,10,12,14,15,17,19,21,22,24,26,27,29,31,32,34,36,38,39,41,

%T 43,44,46,48,49,51,53,55,56,58,60,61,63,65,66,68,70,72,73,75,77,78,80,

%U 82,83,85,87,88,90,92,94,95,97,99,100,102,104,105,107,109,111,112,114

%N Floor(n*alpha)-1, where alpha is the number with continued fraction expansion [1;1,2,3,4,5,...] (A247844).

%H L. Goldberg and A. V. Fraenkel, <a href="http://www.wisdom.weizmann.ac.il/~fraenkel/Papers/Patterns.pdf">Patterns in the generalized Fibonacci word, applied to games</a>, Discrete Math., 341 2018 1675-1687.

%Y Cf. A247844.

%Y Complement of A303590.

%K nonn

%O 1,2

%A _N. J. A. Sloane_, May 23 2018