A067100 Floor[radius of the inscribed-circle of a regular n-gon with unit sides].

0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 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

3,11

Links

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

Formula

a(n) = floor((cot(Pi/n)/2)).

Example

a(24) = floor(cot(Pi/24)/2) = floor(3.79787705636257522026320957021073) = 3.

Mathematica

Table[ Floor[ Cot[Pi/n]/2], {n, 3, 75} ]

Prog

(PARI) { for (n=3, 1000, write("b067100.txt", n, " ", floor((cotan(Pi/n)/2))) ) } \\ Harry J. Smith, May 19 2010

Crossrefs

Cf. A067099, A062299.

Sequence in context: A003074 A279222 A276798 * A296237 A074802 A071804

Adjacent sequences: A067097 A067098 A067099 * A067101 A067102 A067103

Keyword

easy,nonn

Author

Amarnath Murthy, Jan 07 2002

Extensions

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

Status

approved