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 A007064 Numbers not of form "nearest integer to n*tau", tau=(1+sqrt(5))/2. (Formerly M3298) 12
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS First column of Stolarsky array. This sequence and A057843 are very similar - this can be seen if the terms equal to 4 are aligned. - Thomas Baruchel, Nov 04 2003 REFERENCES 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). LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 C. Kimberling, Interspersions C. Kimberling, Interspersions and dispersions, Proceedings of the American Mathematical Society 117 (1993) 313-321. N. J. A. Sloane, Classic Sequences K. B. Stolarsky, A set of generalized Fibonacci sequences such that each natural number belongs to exactly one, Fib. Quart., 15 (1977), 224. FORMULA a(n) = floor[n*(1+tau)-tau/2] =floor[n*2.6180...-0.8090...]. - Henry Bottomley, Sep 03 2001 MATHEMATICA max = 100; Complement[ Range[ max*GoldenRatio], Round[ Range[max]*GoldenRatio]] (* Jean-François Alcover, Oct 10 2011 *) PROG (PARI) a(n) = tau=(1+sqrt(5))/2; floor(n*(1+tau) - tau/2) \\ Michel Marcus, May 21 2013 CROSSREFS Complement of A007067. Cf. A035506. Sequence in context: A248561 A007072 A186323 * A007073 A279054 A086824 Adjacent sequences:  A007061 A007062 A007063 * A007065 A007066 A007067 KEYWORD nonn,easy,nice AUTHOR STATUS approved

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Last modified August 3 13:49 EDT 2020. Contains 336198 sequences. (Running on oeis4.)