A258048 Nonhomogeneous Beatty sequence: a(n) = ceiling((n + 1/2)*Pi/(Pi - 1)).

1, 3, 4, 6, 7, 9, 10, 12, 13, 14, 16, 17, 19, 20, 22, 23, 25, 26, 28, 29, 31, 32, 34, 35, 36, 38, 39, 41, 42, 44, 45, 47, 48, 50, 51, 53, 54, 56, 57, 58, 60, 61, 63, 64, 66, 67, 69, 70, 72, 73, 75, 76, 78, 79, 80, 82, 83, 85, 86, 88, 89, 91, 92, 94, 95, 97

Offset: 0

Author

Clark Kimberling, Jun 15 2015

Keywords

• nonn
• easy

Comments

See A257984.

Links

• Clark Kimberling, Table of n, a(n) for n = 0..10000
• Aviezri S. Fraenkel, The bracket function and complementary sets of integers, Canadian J. of Math. 21 (1969) 6-27.

Crossrefs

Cf. A257984 (complement), A246046, A062380, A258833.

Programs

Mathematica

Table[Ceiling[(n - 1/2) Pi], {n, 1, 120}] (* A257984 *)
Table[Ceiling[(n + 1/2) Pi/(Pi - 1)], {n, 0, 120}]  (* A258048 *)

Formula

a(n) = ceiling((n + 1/2)*Pi/(Pi - 1)).