login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Interior angle of a regular polygon of n sides, rounded to nearest integer.
5

%I #14 Mar 17 2016 06:02:09

%S 60,90,108,120,129,135,140,144,147,150,152,154,156,158,159,160,161,

%T 162,163,164,164,165,166,166,167,167,168,168,168,169,169,169,170,170,

%U 170,171,171,171,171,171,172,172,172,172,172,173,173,173,173,173,173,173,173,174

%N Interior angle of a regular polygon of n sides, rounded to nearest integer.

%D Alexander Koeberlein, Elementary Geometry for College Students, 2nd Edition, Houghton Mifflin Company, Boston, 1999

%F a(n) = round(((n-2)*180)/n).

%e a(5) = (3*180)/5 = 108.

%e a(720) = 180; the maximum value. - _Robert G. Wilson v_, Mar 16 2016

%t f[n_] := Round[180 (n - 2)/n]; Array[f, 55, 3] (* _Robert G. Wilson v_, Mar 16 2016 *)

%o (PARI) a(n) = round((n-2)*180/n); \\ _Michel Marcus_, Aug 27 2013

%Y Cf. A100659.

%K easy,nonn

%O 3,1

%A Kristie Smith (kristie10spud(AT)hotmail.com), Apr 30 2002

%E More terms from _Michel Marcus_, Aug 27 2013