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A007064 Numbers not of form "nearest integer to n*tau", tau=(1+sqrt(5))/2.
(Formerly M3298)
11
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 (baruchel(AT)users.sourceforge.net), Nov 04 2003

REFERENCES

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.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

C. Kimberling, Interspersions

N. J. A. Sloane, Classic Sequences

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-Fran├žois 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 * A086824 A080574 A189367

Adjacent sequences:  A007061 A007062 A007063 * A007065 A007066 A007067

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane, Mira Bernstein

STATUS

approved

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Last modified October 24 20:16 EDT 2014. Contains 248516 sequences.