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A059556 Beatty sequence for 1 + 1/gamma. 2
2, 5, 8, 10, 13, 16, 19, 21, 24, 27, 30, 32, 35, 38, 40, 43, 46, 49, 51, 54, 57, 60, 62, 65, 68, 71, 73, 76, 79, 81, 84, 87, 90, 92, 95, 98, 101, 103, 106, 109, 112, 114, 117, 120, 122, 125, 128, 131, 133, 136, 139, 142, 144, 147, 150, 153, 155, 158, 161, 163, 166 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Differs from A054088 at indices 56, 71, 112, 127, 142, 168, 183 etc. - R. J. Mathar, Oct 05 2008

Let r = gamma (the Euler constant, 0.5772...). When {k*r, k >= 1} is jointly ranked with the positive integers, A059555(n) is the position of n and A059556(n) is the position of n*r. - Clark Kimberling, Oct 21 2014

LINKS

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

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

Eric Weisstein's World of Mathematics, Beatty Sequence.

Index entries for sequences related to Beatty sequences

MATHEMATICA

t = N[Table[k*EulerGamma, {k, 1, 200}]]; u = Union[Range[200], t]

Flatten[Table[Flatten[Position[u, n]], {n, 1, 100}]]  (* A059556 *)

Flatten[Table[Flatten[Position[u, t[[n]]]], {n, 1, 100}]] (* A059555 *)

(* Clark Kimberling, Oct 21 2014 *)

PROG

(PARI) { default(realprecision, 100); b=1 + 1/Euler; for (n = 1, 2000, write("b059556.txt", n, " ", floor(n*b)); ) } \\ Harry J. Smith, Jun 28 2009

CROSSREFS

Beatty complement is A059555.

Sequence in context: A022843 A054088 A186540 * A248520 A247780 A189365

Adjacent sequences:  A059553 A059554 A059555 * A059557 A059558 A059559

KEYWORD

nonn,easy

AUTHOR

Mitch Harris, Jan 22 2001

STATUS

approved

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Last modified May 9 06:30 EDT 2021. Contains 343692 sequences. (Running on oeis4.)