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A190375 a(n) = n + [n*r/u] + [n*s/u] + [n*t/u];  r=sin(Pi/5), s=1/r, t=sin(2*Pi/5), u=1/t. 4
2, 7, 10, 15, 19, 23, 27, 31, 36, 40, 43, 47, 52, 55, 60, 63, 68, 73, 76, 81, 83, 88, 92, 96, 100, 105, 109, 113, 117, 121, 126, 128, 133, 138, 141, 146, 149, 154, 158, 162, 166, 169, 174, 178, 182, 186, 191, 194, 199, 202, 207, 212, 214, 219, 222, 227, 231, 235, 239, 244, 248, 252, 255, 259, 264, 267, 272, 277, 280, 285, 288, 293, 297, 300 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A190372.

LINKS

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

FORMULA

(* A190372 *) f[n_] := n + Floor[n/sin(Pi/5)^2] + Floor[2*n*cos(Pi/5)] + Floor[n/(sin(2*Pi/5)*sin(Pi/5))].

(* A190373 *) g[n_] := n + Floor[n*sin(Pi/5)^2] + Floor[n*sin(Pi/5)* sin(2*Pi/5)] + Floor[n/(2*cos(Pi/5))].

(* A190374 *) h[n_] := n + Floor[n/(2*cos(Pi/5))] + Floor[n/(sin(Pi/5)* sin(2*Pi/5))] + Floor[n/sin(2*Pi/5)^2].

(* A190375 *) i[n_] := n + Floor[n*sin(Pi/5)*sin(2*Pi/5)] + Floor[2*n*cos(Pi/5)] + Floor[n*sin(2*Pi/5)^2].

MATHEMATICA

r=Sin[Pi/5]; s=1/r; t=Sin[2*Pi/5]; u=1/t;

f[n_] := n + Floor[n*s/r] + Floor[n*t/r] + Floor[n*u/r];

g[n_] := n + Floor[n*r/s] + Floor[n*t/s] + Floor[n*u/s];

h[n_] := n + Floor[n*r/t] + Floor[n*s/t] + Floor[n*u/t];

i[n_] := n + Floor[n*r/u] + Floor[n*s/u] + Floor[n*t/u];

Table[f[n], {n, 1, 120}]  (* A190372 *)

Table[g[n], {n, 1, 120}]  (* A190373 *)

Table[h[n], {n, 1, 120}]  (* A190374 *)

Table[i[n], {n, 1, 120}]  (* A190375 *)

PROG

(PARI) for(n=1, 100, print1(n + floor(n*sin(Pi/5)*sin(2*Pi/5)) + floor(2*n*cos(Pi/5)) + floor(n*sin(2*Pi/5)^2), ", ")) \\ G. C. Greubel, Apr 05 2018

(MAGMA) R:=RealField(); [n + Floor(n*Sin(Pi(R)/5)*Sin(2*Pi(R)/5)) + Floor(2*n*Cos(Pi(R)/5)) + Floor(n*Sin(2*Pi(R)/5)^2): n in [1..100]]; // G. C. Greubel, Apr 05 2018

CROSSREFS

Cf. A190372, A190373, A190374.

Sequence in context: A022886 A047524 A190447 * A066097 A035336 A246128

Adjacent sequences:  A190372 A190373 A190374 * A190376 A190377 A190378

KEYWORD

nonn

AUTHOR

Clark Kimberling, May 09 2011

STATUS

approved

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Last modified August 15 07:26 EDT 2018. Contains 313756 sequences. (Running on oeis4.)