A292658 Rank of n*cos(1) when all the numbers h, j*cos(1), k*sin(1), for h>=1, j>=1, k>=1, are jointly ranked.

1, 4, 5, 8, 10, 12, 14, 17, 18, 21, 23, 25, 28, 29, 32, 34, 36, 38, 41, 42, 45, 47, 49, 51, 54, 56, 58, 60, 62, 65, 66, 69, 71, 73, 75, 78, 79, 82, 85, 86, 89, 90, 93, 95, 97, 99, 102, 103, 106, 109, 110, 113, 115, 117, 119, 121, 123, 126, 127, 130, 132, 134

Offset

1,2

Comments

This sequence together with A292657 and A292658 partition the set of positive integers.

Links

Clark Kimberling, Table of n, a(n) for n = 1..1000

Mathematica

z = 120; r = 1; s = Cos[1]; t = Sin[1];
Table[n + Floor[n*r/s] + Floor[n*r/t], {n, 1, z}]  (* A292657 *)
Table[n + Floor[n*s/r] + Floor[n*s/t], {n, 1, z}]  (* A292658 *)
Table[n + Floor[n*t/r] + Floor[n*t/s], {n, 1, z}]  (* A292659 *)

Crossrefs

Cf. A292657, A292659.

Sequence in context: A347476 A255491 A344955 * A304108 A214026 A174396

Adjacent sequences: A292655 A292656 A292657 * A292659 A292660 A292661

Keyword

nonn,easy

Author

Clark Kimberling, Sep 28 2017

Status

approved