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A244094
Rounded down ratio of area of a unit circle and one of the circles inscribed between a regular n-gon and a circumscribed unit circle.
4
16, 46, 109, 222, 407, 690, 1099, 1669, 2437, 3445, 4737, 6363, 8376, 10834, 13797, 17330, 21503, 26389, 32064, 38608, 46108, 54651, 64331, 75243, 87489, 101172, 116402, 133290, 151953, 172511, 195088, 219813, 246817, 276236, 308211, 342885, 380407, 420927, 464601, 511590
OFFSET
3,1
FORMULA
a(n) = floor(Pi/area(n)) where area(n) = Pi*r(n)^2, r(n) = (1 - cos(Pi/n))/2 = sin(Pi/(2*n))^2, n >= 3.
PROG
(PARI)
{
for (n=3, 100,
b=Pi*(n-2)/(2*n);
r=(1-sin(b))/2;
area=Pi*r^2;
a=floor(Pi/area);
print1(a, ", ")
)
}
CROSSREFS
Sequence in context: A069128 A099003 A124709 * A235549 A126370 A133345
KEYWORD
nonn,easy
AUTHOR
Kival Ngaokrajang, Jun 20 2014
EXTENSIONS
Edited. Formula simplified - Wolfdieter Lang, Jun 27 2014
STATUS
approved