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Maximal number of right angles in an n-gon.
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%I #18 Nov 03 2023 17:02:16

%S 1,4,3,4,5,6

%N Maximal number of right angles in an n-gon.

%C A proper definition is needed for this sequence.

%C Conjecture from _R. J. Mathar_, Mar 07 2008, Apr 21 2008: (Start)

%C The correct sequence is a(n)=A014681(n-1), because a polyomino with a zigzag "stair" shape along a diagonal provides a solution where the number of right angles equals the number of edges:

%C ┌─────────┐

%C |. . . . .|

%C | ┘

%C |. . . . .

%C |

%C |. .|

%C | ┌─┘

%C |.|

%C └─┘

%C (End)

%C Possibly an incorrect version of A049008. - _Michal Paulovic_, Sep 27 2023

%e The first (n=3) integer in this sequence is 1 because a triangle cannot have more than one right angle.

%Y Cf. A049008.

%K nonn,more,uned,obsc

%O 3,2

%A Asher Stuhlman (asherstuhlman(AT)gmail.com), Nov 06 2007