cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A049008 Greatest possible number of right angles that can occur as interior angles in a planar n-gon.

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%I A049008 #3 Sep 13 2003 03:00:00
%S A049008 1,4,3,5,5,6,7,7,8,9,9,10,11,11,12,13,13,14,15,15,16,17,17,18,19,19,
%T A049008 20,21,21,22,23,23,24,25,25,26,27,27,28,29,29,30,31,31,32,33,33,34,35,
%U A049008 35,36,37,37,38,39,39,40,41,41,42,43,43,44,45,45,46,47,47,48,49,49,50
%N A049008 Greatest possible number of right angles that can occur as interior angles in a planar n-gon.
%C A049008 Reflex angles (e.g. 270 degrees) are not considered right angles. From a(6) on, this duplicates A004396 from its eighth term.
%F A049008 a(3) = 1; a(4) = 4; a(5) = 3; a(3*k+3) = 2*k+3; a(3*k+4) = 2*k+3; a(3*k+5) = 2*k+4 where k starts from 1 OR a(n) is the greatest integer less than 2/3*(n+2) where n starts from 6.
%e A049008 a(3) = 1 because you can only have one right angle in a triangle; a(4) = 4 as in a rectangular quadrilateral; a(100) = 67 etc.
%Y A049008 Cf. A004396.
%K A049008 easy,nonn
%O A049008 3,2
%A A049008 Deepak R. N (deepak_rama(AT)bigfoot.com)