A067099 Floor[radius of the circumscribed circle of a regular n-gon with unit sides].

0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11

Offset: 3

Author

Amarnath Murthy, Jan 07 2002

Keywords

• easy
• nonn

Examples

			a(15) = floor(1/(2*sin(Pi/15))) = floor(2.40486717237206534804886845877139) = 2.
		

Links

• Harry J. Smith, Table of n, a(n) for n = 3..1000

Crossrefs

Cf. A067100.

Programs

Mathematica

Table[ Floor[ 1/(2*Sin[Pi/n])], {n, 3, 75} ]

PARI

{ for (n=3, 1000, write("b067099.txt", n, " ", floor(1/(2*sin(Pi/n)))) ) } \\ Harry J. Smith, May 16 2010

Formula

a(n) = floor(1/(2*sin(Pi/n))).

Extensions

More terms from Robert G. Wilson v, Jan 09 2002