A248421 - OEIS

A248421

a(n) = floor( 1/(n*tan(Pi/n) - Pi) ).

0, 1, 2, 3, 4, 5, 7, 9, 11, 13, 15, 18, 21, 24, 27, 30, 34, 38, 42, 46, 50, 55, 60, 65, 70, 75, 80, 86, 92, 98, 104, 111, 118, 125, 132, 139, 146, 154, 162, 170, 178, 186, 195, 204, 213, 222, 231, 241, 251, 261, 271, 281, 292, 303, 313, 325, 336, 347, 359

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OFFSET

3,3

COMMENTS

This sequence provedes insight into the manner of convergence of n*tan(Pi/n) to Pi.

LINKS

Clark Kimberling, Table of n, a(n) for n = 3..2000

FORMULA

a(n) ~ 3*n^2/Pi^3. - Vaclav Kotesovec, Oct 09 2014

EXAMPLE

n ... n*tan(Pi/n)-Pi ... 1/(n*tan(Pi/n)-Pi)

3 ... 2.05456 .......... 0.486722