A190060 a(n) = n + [n*r/s] + [n*t/s]; r=1, s=sin(Pi/5), t=csc(Pi/5).

4, 10, 16, 21, 27, 33, 38, 44, 50, 55, 60, 66, 72, 77, 83, 89, 94, 100, 105, 111, 116, 122, 128, 133, 139, 145, 150, 156, 161, 167, 172, 178, 184, 189, 195, 201, 206, 211, 217, 223, 228, 234, 240, 245, 251, 257, 262, 267, 273, 279, 284, 290, 296, 301, 307, 313, 317, 323, 329, 335, 340, 346, 352, 357, 363, 369, 373, 379, 385, 391, 396, 402

Offset

1,1

Comments

See A190059.

Links

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

Formula

A190059: a(n) = n + [n*sin(Pi/5)] + [n*csc(Pi/5].

A190060: b(n) = n + [n*csc(Pi/5)] + [n*(csc(Pi/5))^2].

A190061: c(n) = n + [n*sin(Pi/5)] + [n*(sin(Pi/5))^2].

Mathematica

r=1; s=Sin[Pi/5]; t=Csc[Pi/5];
a[n_] := n + Floor[n*s/r] + Floor[n*t/r];
b[n_] := n + Floor[n*r/s] + Floor[n*t/s];
c[n_] := n + Floor[n*r/t] + Floor[n*s/t];
Table[a[n], {n, 1, 120}]  (*A190059*)
Table[b[n], {n, 1, 120}]  (*A190060*)
Table[c[n], {n, 1, 120}]  (*A190061*)

Prog

(PARI) for(n=1, 30, print1(n + floor(n/sin(Pi/5)) + floor(n/(sin(Pi/5))^2), ", ")) \\ G. C. Greubel, Jan 10 2018
(Magma) C<i> := ComplexField(); [n + Floor(n/Sin(Pi(C)/5)) + Floor(n/(Sin(Pi(C)/5))^2): n in [1..30]]; // G. C. Greubel, Jan 10 2018

Crossrefs

Cf. A190059, A190061.

Sequence in context: A310513 A081260 A310514 * A328986 A277096 A043385

Adjacent sequences: A190057 A190058 A190059 * A190061 A190062 A190063

Keyword

nonn

Author

Clark Kimberling, May 04 2011

Status

approved