login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A190060 a(n) = n + [n*r/s] + [n*t/s];  r=1, s=sin(pi/5), t=csc(pi/5). 3
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 (list; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 5 09:03 EST 2020. Contains 338944 sequences. (Running on oeis4.)