A059566 Beatty sequence for e^gamma/(e^gamma-1).

2, 4, 6, 9, 11, 13, 15, 18, 20, 22, 25, 27, 29, 31, 34, 36, 38, 41, 43, 45, 47, 50, 52, 54, 57, 59, 61, 63, 66, 68, 70, 72, 75, 77, 79, 82, 84, 86, 88, 91, 93, 95, 98, 100, 102, 104, 107, 109, 111, 114, 116, 118, 120, 123, 125, 127, 129, 132, 134, 136, 139, 141, 143

Offset: 1

Author

Mitch Harris, Jan 22 2001

Keywords

• nonn
• easy

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

Crossrefs

Beatty complement is A059565.

Programs

Mathematica

Table[ Floor[ n * E^EulerGamma /(E^EulerGamma - 1)], {n, 1, 70} ]

PARI

{ default(realprecision, 100); v=exp(1)^Euler; b=v/(v - 1); for (n = 1, 2000, write("b059566.txt", n, " ", floor(n*b)); ) } \\ Harry J. Smith, Jun 28 2009

Formula

a(n) = floor(n*e^gamma/(e^gamma-1)). - Michel Marcus, Jan 04 2015