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A059555 Beatty sequence for 1+gamma A001620. +0
2
1, 3, 4, 6, 7, 9, 11, 12, 14, 15, 17, 18, 20, 22, 23, 25, 26, 28, 29, 31, 33, 34, 36, 37, 39, 41, 42, 44, 45, 47, 48, 50, 52, 53, 55, 56, 58, 59, 61, 63, 64, 66, 67, 69, 70, 72, 74, 75, 77, 78, 80, 82, 83, 85, 86, 88, 89, 91, 93, 94, 96, 97, 99, 100, 102, 104, 105, 107, 108 (list; graph; listen)
OFFSET

1,2

REFERENCES

Fraenkel, Aviezri S.; Levitt, Jonathan; Shimshoni, Michael; Characterization of the set of values f(n)=[n alpha], n=1,2,... Discrete Math.2 (1972), no.4,335-345.

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,2000

Index entries for sequences related to Beatty sequences

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

MAPLE

Digits:=100:t:=evalf(1+tan(Pi/6)):A:=n->(t*n):seq(floor((t*n)), n=1..69); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 27 2009]

PROGRAM

(PARI) { default(realprecision, 100); b=1 + Euler; for (n = 1, 2000, write("b059555.txt", n, " ", floor(n*b)); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 28 2009]

CROSSREFS

Beatty complement is A059556.

Sequence in context: A065313 A103566 A018825 this_sequence A054385 A056576 A059552

Adjacent sequences: A059552 A059553 A059554 this_sequence A059556 A059557 A059558

KEYWORD

nonn,easy

AUTHOR

Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu), Jan 22, 2001

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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