A190086 a(n) = n + [n*r/s] + [n*t/s]; r=1, s=sin(1/2), t=cos(1/2).

4, 9, 14, 19, 24, 28, 33, 38, 43, 48, 53, 58, 63, 68, 73, 78, 83, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132, 137, 142, 146, 151, 156, 161, 166, 172, 176, 181, 186, 191, 196, 201, 205, 210, 215, 220, 225, 231, 235, 240, 245, 250, 255, 260, 264, 269, 274, 279, 284, 289, 294, 299, 304, 309, 314, 318, 323, 328, 333, 338, 344, 348

Offset

1,1

Comments

See A190085.

Links

G. C. Greubel, Table of n, a(n) for n = 1..10000

Formula

A190085: f(n) = n + [n*sin(1/2)] + [n*cos(1/2)].

A190086: g(n) = n + [n*csc(1/2)] + [n*cot(1/2)], this sequence.

A190087: h(n) = n + [n*sec(1/2)] + [n*tan(1/2)].

Mathematica

r=1; s=Sin[1/2]; t=Cos[1/2];
f[n_] := n + Floor[n*s/r] + Floor[n*t/r];
g[n_] := n + Floor[n*r/s] + Floor[n*t/s];
h[n_] := n + Floor[n*r/t] + Floor[n*s/t];
Table[f[n], {n, 1, 120}]  (* A190085 *)
Table[g[n], {n, 1, 120}]  (* A190086 *)
Table[h[n], {n, 1, 120}]  (* A190087 *)

Prog

(PARI) for(n=1, 100, print1(n + floor(n/sin(1/2)) + floor(n/tan(1/2)), ", ")) \\ G. C. Greubel, Mar 04 2018
(Magma) [n + Floor(n/Sin(1/2)) + Floor(n/Tan(1/2)): n in [1..100]]; // G. C. Greubel, Mar 04 2018

Crossrefs

Cf. A190085, A190087.

Sequence in context: A313112 A313113 A197878 * A313114 A313115 A120433

Adjacent sequences: A190083 A190084 A190085 * A190087 A190088 A190089

Keyword

nonn

Author

Clark Kimberling, May 04 2011

Status

approved