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A190007
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a(n) = n + [n*r/s] + [n*t/s]; r=1, s=sin(Pi/3), t=csc(Pi/3).
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3
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3, 6, 10, 13, 16, 20, 24, 27, 31, 34, 37, 41, 45, 48, 52, 55, 58, 62, 65, 69, 73, 76, 79, 83, 86, 90, 94, 97, 100, 104, 107, 110, 115, 118, 121, 125, 128, 131, 136, 139, 142, 146, 149, 152, 156, 160, 163, 167, 170, 173, 177, 181, 184, 188, 191, 194, 198, 201, 205, 209, 212, 215, 219, 222, 226, 230, 233, 236, 240, 243, 246, 251, 254
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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See A190006.
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 1..10000
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FORMULA
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A190006: a(n) = n + [n*sin(Pi/3)] + [n*csc(Pi/3].
A190007: b(n) = n + [n*csc(Pi/3)] + [n*(csc(Pi/3))^2].
A190008: c(n) = n + [n*sin(Pi/3)] + [n*(sin(Pi/3))^2].
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MATHEMATICA
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r=1; s=Sin[Pi/3]; t=Csc[Pi/3];
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}] (* A190006 *)
Table[b[n], {n, 1, 120}] (* A190007 *)
Table[c[n], {n, 1, 120}] (* A190008 *)
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PROG
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(PARI) for(n=1, 100, print1(n + floor(n/sin(Pi/3)) + floor(n/(sin(Pi/3))^2), ", ")) \\ G. C. Greubel, Jan 11 2018
(Magma) C<i> := ComplexField(); [n + Floor(n/Sin(Pi(C)/3)) + Floor(n/(Sin(Pi(C)/3))^2): n in [1..100]]; // G. C. Greubel, Jan 11 2018
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CROSSREFS
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Cf. A190006, A190008.
Sequence in context: A353093 A080667 A277722 * A310052 A310053 A001952
Adjacent sequences: A190004 A190005 A190006 * A190008 A190009 A190010
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling, May 03 2011
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STATUS
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approved
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