OFFSET
3,1
LINKS
Nicolay Avilov, Illustration of a(3)-a(7)
FORMULA
a(n) = floor(n^3/(4*tan(Pi/n))).
a(n) = n^4/(4*Pi) - (Pi/12)*n^2 + O(1). - Charles R Greathouse IV, Jul 03 2024
EXAMPLE
Areas of polygons (starting from n=3):
3.897... (equilateral triangle), so a(3) = 3,
16.000... (square), so a(4) = 16,
43.011... (pentagon), so a(5) = 43,
93.530... (hexagon), so a(6) = 93,
178.061... (heptagon), so a(7) = 178.
CROSSREFS
KEYWORD
nonn
AUTHOR
Nicolay Avilov, Jul 03 2024
STATUS
approved