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A190083
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n + [n*r/s] + [n*t/s]; r=1, s=sin(2*Pi/5), t=csc(2*Pi/5).
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5
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3, 6, 9, 12, 15, 18, 21, 24, 27, 31, 34, 37, 40, 43, 46, 49, 52, 55, 59, 63, 66, 69, 72, 75, 78, 81, 84, 87, 91, 94, 97, 100, 103, 106, 109, 112, 115, 119, 123, 126, 129, 132, 135, 138, 141, 144, 147, 151, 154, 157, 160, 163, 166, 169, 172, 175, 179, 182, 186, 189, 192, 195, 198, 201, 204, 207, 211, 214, 217, 220, 223, 226, 229, 232, 235
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listen;
history;
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internal format)
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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MATHEMATICA
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r=1; s=Sin[2*Pi/5]; t=Csc[2*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}] (* A190082 *)
Table[b[n], {n, 1, 120}] (* A190083 *)
Table[c[n], {n, 1, 120}] (* A190084 *)
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PROG
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(PARI) for(n=1, 100, print1(n + floor(n/sin(2*Pi/5)) + floor(n/(sin(2*Pi/5))^2), ", ")) \\ G. C. Greubel, Nov 07 2018
(Magma) R:= RealField(); [n + Floor(n/Sin(2*Pi(R)/5)) + Floor(n/(Sin(2*Pi(R)/5))^2): n in [1..100]]; // G. C. Greubel, Nov 07 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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