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 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 := 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

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