

A007064


Numbers not of form "nearest integer to n*tau", tau = (1+sqrt(5))/2.
(Formerly M3298)


13



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

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

Clark Kimberling, "Stolarsky interspersions," Ars Combinatoria 39 (1995) 129138.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS



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]] (* JeanFrançois 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



KEYWORD

nonn,easy,nice


AUTHOR



STATUS

approved



