A059547 -id:A059547 - cp's OEIS frontend

A059548 Beatty sequence for 1 + log(3).

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 107, 109, 111, 113, 115, 117, 119, 121, 123, 125, 128, 130, 132, 134

Offset: 1

Mitch Harris, Jan 22 2001

Different from A064720, although the sequences agree for about 1400 terms. - Joshua Zucker, Apr 25 2007

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

Beatty complement is A059547.

Cf. A002391.

Floor[Range[100]*(1 + Log[3])] (* Paolo Xausa, Jul 05 2024 *)

{ default(realprecision, 100); b=1 + log(3); for (n = 1, 2000, write("b059548.txt", n, " ", floor(n*b)); ) } \\ Harry J. Smith, Jun 28 2009

a(n) = floor(n*(1 + A002391)). - Paolo Xausa, Jul 05 2024

A064719 A Beatty sequence for 3^i + 3^-i + 1.

Original entry on oeis.org

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 85, 87, 89, 91, 93, 95, 97, 99, 101, 103, 105, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126

Offset: 1

Robert G. Wilson v, Oct 13 2001

3^i + 3^-i + 1 ~= 1.90966484565321951005513028719008497... ~= 21/11.

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

Cf. A064720.

Cf. A059547. - R. J. Mathar, Oct 02 2008

a = Chop[ N[ 3^I + 3^-I +1, 36], 10^-40]; Table[ Floor[n*a], {n, 1, 75} ]

{ default(realprecision, 100); b=real(3^I + 3^-I) + 1; for (n = 1, 2000, write("b064719.txt", n, " ", floor(n*b)) ) } \\ Harry J. Smith, Sep 23 2009

cp's OEIS Frontend

A059548 Beatty sequence for 1 + log(3).

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