A064724 A Beatty sequence for 2^sqrt(2).

1, 3, 4, 6, 8, 9, 11, 12, 14, 16, 17, 19, 20, 22, 24, 25, 27, 28, 30, 32, 33, 35, 36, 38, 40, 41, 43, 44, 46, 48, 49, 51, 52, 54, 56, 57, 59, 60, 62, 64, 65, 67, 68, 70, 72, 73, 75, 76, 78, 80, 81, 83, 84, 86, 88, 89, 91, 92, 94, 96, 97, 99, 100, 102, 104, 105, 107, 108, 110

Offset: 1

Author

Robert G. Wilson v, Oct 16 2001

Keywords

• nonn

Links

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

Crossrefs

Beatty complement is A038127.

Note that this sequence differs from A047416, 589 is in this sequence while 588 is in A047416.

Programs

Magma

[Floor(n*2^Sqrt(2)/(2^Sqrt(2) - 1)): n in [1..100]]; // G. C. Greubel, Sep 09 2018

Mathematica

Table[Floor[n*(2^Sqrt[2])/(2^Sqrt[2] - 1)], {n, 1, 70} ]

PARI

{ default(realprecision, 100); b=2^sqrt(2); b=b/(b - 1); for (n = 1, 2000, write("b064724.txt", n, " ", floor(n*b)) ) } \\ Harry J. Smith, Sep 23 2009