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%I #17 Jun 28 2021 10:38:53
%S 0,0,0,1,1,0,0,1,0,1,0,2,1,1,4,1,4,0,0,6,3,0,0,7,8,3,0,5,3,8,0,1,0,5,
%T 5,3,10,0,10,11,5,5,0,3,5,0,0,11,0,11,18,15,5,0,6,10,0,6,0,26,4,0,11,
%U 1,32,3,0,10,2,10,0,10,12,17,34
%N a(n) is the number of integer quadrilaterals (up to congruence) with integer side lengths a,b,c,d with n = Max(a,b,c,d), integer diagonals e,f and integer area.
%C This sequence is the sum of the sequences A342721 and A342723 which deal with concave and convex quadrilaterals respectively.
%F a(n) = A342721(n) + A342723(n).
%e a(4)=1 because the smallest possible quadrilateral is a rectangle with a=c=4, b=d=3, e=f=5 and area 12.
%Y Cf. A342720, A342721, A342722, A342723, A344528.
%K nonn
%O 1,12
%A _Herbert Kociemba_, May 22 2021