|
|
|
|
2, 5, 8, 11, 14, 17, 20, 23, 26, 28, 31, 34, 37, 40, 43, 46, 49, 52, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 83, 86, 89, 92, 95, 98, 101, 104, 107, 109, 112, 115, 118, 121, 124, 127, 130, 133, 136, 138, 141, 144, 147, 150, 153, 156, 159, 162, 164, 167, 170, 173, 176, 179, 182, 185, 188, 191, 193, 196, 199, 202, 205, 208, 211, 214, 217
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Equals (n + floor(n*(csc(pi/5))^2) + floor(n*(cot(pi/5))^2))/2, for n>=1. - G. C. Greubel, Jan 13 2018
|
|
MATHEMATICA
|
r=1; s=Sin[Pi/5]^2; t=Cos[Pi/5]^2;
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}] (*A005408*)
Table[b[n], {n, 1, 120}] (*A189932*)
Table[c[n], {n, 1, 120}] (*A189933*)
Table[b[n]/2, {n, 1, 120}] (*A189934*)
Table[c[n]/2, {n, 1, 120}] (*A189935*)
|
|
PROG
|
(PARI) for(n=1, 100, print1((n + floor(n/(sin(Pi/5))^2) + floor(n/(tan(Pi/5))^2))/2, ", ")) \\ G. C. Greubel, Jan 13 2018
(Magma) C<i> := ComplexField(); [(n + Floor(n/(Sin(Pi(C)/5))^2) + Floor(n/(Tan(Pi(C)/5))^2))/2: n in [1..100]]; // G. C. Greubel, Jan 13 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|