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A007064
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Numbers not of form "nearest integer to n*tau", tau=(1+sqrt(5))/2.
(Formerly M3298)
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10
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1, 4, 7, 9, 12, 14, 17, 20, 22, 25, 27, 30, 33, 35, 38, 41, 43, 46, 48, 51, 54, 56, 59, 62, 64, 67, 69, 72, 75, 77, 80, 82, 85, 88, 90, 93, 96, 98, 101, 103, 106, 109, 111, 114, 117, 119, 122, 124, 127, 130, 132, 135
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OFFSET
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1,2
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COMMENTS
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First column of Stolarsky array.
Comment from Thomas Baruchel (baruchel(AT)users.sourceforge.net), Nov 04, 2003: this sequence and A057843 are very similar - this can be seen if the terms equal to 4 are aligned.
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REFERENCES
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C. Kimberling, "Interspersions and dispersions," Proceedings of the American Mathematical Society 117 (1993) 313-321.
C. Kimberling, "Stolarsky interspersions," Ars Combinatoria 39 (1995) 129-138.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
K. B. Stolarsky, A set of generalized Fibonacci sequences such that each natural number belongs to exactly one, Fib. Quart., 15 (1977), 224.
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LINKS
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Table of n, a(n) for n=1..52.
C. Kimberling, Interspersions
N. J. A. Sloane, Classic Sequences
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FORMULA
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a(n) =floor[n*(1+tau)-tau/2] =floor[n*2.6180...-0.8090...]. - Henry Bottomley, Sep 03 2001
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MATHEMATICA
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max = 100; Complement[ Range[ max*GoldenRatio], Round[ Range[max]*GoldenRatio]] (* From Jean-François Alcover, Oct 10 2011 *)
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CROSSREFS
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Complement of A007067. Cf. A035506.
Sequence in context: A092861 A007072 A186323 * A086824 A080574 A189367
Adjacent sequences: A007061 A007062 A007063 * A007065 A007066 A007067
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane, Mira Bernstein (mira(AT)math.berkeley.edu)
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STATUS
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approved
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