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 A026352 a(n) = floor(n*tau)+n+1. 18
 1, 3, 6, 8, 11, 14, 16, 19, 21, 24, 27, 29, 32, 35, 37, 40, 42, 45, 48, 50, 53, 55, 58, 61, 63, 66, 69, 71, 74, 76, 79, 82, 84, 87, 90, 92, 95, 97, 100, 103, 105, 108, 110, 113, 116, 118, 121, 124, 126, 129, 131, 134, 137, 139, 142, 144 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n) = greatest k such that s(k) = n+1, where s = A026350. Indices at which blocks (0;1) occur in infinite Fibonacci word; i.e., n such that A005614(n)=0 and A005614(n+1)=1. - Benoit Cloitre, Nov 15 2003 Except for the first term, these are the numbers whose lazy Fibonacci representation (see A095791) includes both 1 and 2; thus this sequence is a subsequence of the lower Wythoff sequence, A000201. - Clark Kimberling, Jun 10 2004; A-number typo corrected by Nathan Fox, May 03 2014 a(n) = n-th number k whose lazy Fibonacci representation (as in A095791) has more summands than that of k-1. - Clark Kimberling, Jun 12 2004 a(n) = position of n-th 0 in A096270. REFERENCES Eric Friedman, Scott M. Garrabrant, Ilona K. Phipps-Morgan, A. S. Landsberg and Urban Larsson, Geometric analysis of a generalized Wythoff game, in Games of no Chance 5, MSRI publ. Cambridge University Press, date? LINKS U. Larsson, N. Fox, An Aperiodic Subtraction Game of Nim-Dimension Two, Journal of Integer Sequences, 2015, Vol. 18, #15.7.4. MATHEMATICA Table[Floor[GoldenRatio*n]+n+1, {n, 0, 60}] (* Harvey P. Dale, Aug 24 2021 *) PROG (PARI) a(n) = floor(n*(sqrt(5)+1)/2) + n + 1; \\ Michel Marcus, Sep 15 2016 CROSSREFS Essentially same as A004957. Subsequence of A000201. Complement of A026351. Sequence in context: A310137 A157017 A004957 * A198084 A047399 A342744 Adjacent sequences:  A026349 A026350 A026351 * A026353 A026354 A026355 KEYWORD nonn AUTHOR Clark Kimberling, Dec 11 1999 STATUS approved

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Last modified August 18 12:29 EDT 2022. Contains 356212 sequences. (Running on oeis4.)