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A007067 Nearest integer to n*tau.
(Formerly M0622)
56
0, 2, 3, 5, 6, 8, 10, 11, 13, 15, 16, 18, 19, 21, 23, 24, 26, 28, 29, 31, 32, 34, 36, 37, 39, 40, 42, 44, 45, 47, 49, 50, 52, 53, 55, 57, 58, 60, 61, 63, 65, 66, 68, 70, 71, 73, 74, 76, 78, 79, 81, 83, 84, 86, 87, 89 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

First column of inverse Stolarsky array.

REFERENCES

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 = 0..1000

C. Kimberling, Interspersions and dispersions, Proceedings of the American Mathematical Society, 117 (1993) 313-321.

N. J. A. Sloane, My favorite integer sequences, in Sequences and their Applications (Proceedings of SETA '98).

N. J. A. Sloane, Classic Sequences

FORMULA

Satisfies a(a(n)) = a(n) + n. - Franklin T. Adams-Watters, Aug 14 2006

MAPLE

A007067:=n->round(n*(1+sqrt(5))/2); seq(A007067(n), n=0..100); # Wesley Ivan Hurt, Nov 27 2013

MATHEMATICA

a[n_] := Round[n*GoldenRatio]; Table[a[n], {n, 0, 55}] (* Jean-Fran├žois Alcover, Jun 27 2012 *)

PROG

(PARI) a(n) = round(n*(1+sqrt(5))/2) \\ Michel Marcus, May 20 2013

CROSSREFS

Cf. A000201, A007064. Different from A026355.

Sequence in context: A029921 A026355 A099267 * A186322 A092979 A135260

Adjacent sequences:  A007064 A007065 A007066 * A007068 A007069 A007070

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Mira Bernstein

STATUS

approved

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Last modified December 14 00:21 EST 2017. Contains 295976 sequences.