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A190061 a(n) = n + [n*r/t] + [n*s/t];  r=1, s=sin(pi/5), t=csc(pi/5). 3
1, 3, 5, 7, 8, 11, 13, 14, 17, 18, 20, 23, 24, 26, 28, 30, 31, 34, 36, 37, 40, 41, 43, 46, 47, 49, 51, 53, 56, 57, 59, 61, 63, 64, 67, 69, 70, 73, 74, 76, 79, 80, 82, 84, 86, 88, 90, 92, 93, 96, 97, 99, 102, 103, 106, 107, 109, 112, 113, 115, 117, 119, 121, 123, 125, 126, 129, 130, 132, 135, 136, 138, 140, 142, 144 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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, A190060.

Sequence in context: A090542 A260518 A190333 * A288624 A168162 A047485

Adjacent sequences:  A190058 A190059 A190060 * A190062 A190063 A190064

KEYWORD

nonn

AUTHOR

Clark Kimberling, May 04 2011

STATUS

approved

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Last modified October 30 05:44 EDT 2020. Contains 338077 sequences. (Running on oeis4.)