A182770 Beatty sequence for 3-sqrt(2).

1, 3, 4, 6, 7, 9, 11, 12, 14, 15, 17, 19, 20, 22, 23, 25, 26, 28, 30, 31, 33, 34, 36, 38, 39, 41, 42, 44, 45, 47, 49, 50, 52, 53, 55, 57, 58, 60, 61, 63, 65, 66, 68, 69, 71, 72, 74, 76, 77, 79, 80, 82, 84, 85, 87, 88, 90, 91, 93, 95, 96, 98, 99, 101, 103, 104, 106, 107, 109

Offset

1,2

Comments

Let u=1+sqrt(2) and v=sqrt(2). Jointly rank {ju} and {kv} as in the first comment at A182760; a(n) is the position of nv. A182770 is the complement of A182769.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Index entries for sequences related to Beatty sequences

Formula

a(n) = floor(n*(3-sqrt(2))).

Mathematica

Floor[Range[70](3-Sqrt[2])] (* Harvey P. Dale, Apr 21 2013 *)

Prog

(Magma) [Floor(n*(3-Sqrt(2))): n in [1..80]]; // Vincenzo Librandi, Oct 25 2011
(PARI) vector(100, n, floor(n*(3-sqrt(2)))) \\ G. C. Greubel, Aug 18 2018

Crossrefs

Cf. A182760, A182769.

Sequence in context: A284773 A172272 A056576 * A347792 A330095 A059552

Adjacent sequences: A182767 A182768 A182769 * A182771 A182772 A182773

Keyword

nonn

Author

Clark Kimberling, Nov 30 2010

Status

approved