A164087 Beatty sequence for 4*Pi/(4*Pi-3) = 1.3135986... .

1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 21, 22, 23, 24, 26, 27, 28, 30, 31, 32, 34, 35, 36, 38, 39, 40, 42, 43, 44, 45, 47, 48, 49, 51, 52, 53, 55, 56, 57, 59, 60, 61, 63, 64, 65, 66, 68, 69, 70, 72, 73, 74, 76, 77, 78, 80, 81, 82, 84, 85, 86, 88, 89, 90, 91, 93, 94

Offset: 1

Author

Reinhard Zumkeller, Aug 11 2009

Keywords

• nonn

Comments

a(n) = A109237(n) for n <= 66;

complement of A164086;

a(n) = A164088(A164086(n)) and A164088(a(n)) = A164086(n).

Links

• Eric Weisstein's World of Mathematics, Beatty Sequence
• Index entries for sequences related to Beatty sequences

Crossrefs

Cf. A109237, A164086, A164088.

Programs

Mathematica

Floor[4 Range[100]*Pi/(4*Pi - 3)] (* Wesley Ivan Hurt, Apr 25 2023 *)

Formula

a(n) = floor(4*n*Pi/(4*Pi-3)).