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Squared numerator of y-coordinate of 3rd point of the n-th triangle with integer sides in a sorted list corresponding to A331695. The y-coordinate is given by sqrt(a(n))/A331696(n).
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%I #7 Jan 26 2020 07:35:48

%S 3,15,3,7,35,32,27,135,5,63,15,495,12,11,231,144,39,99,96,819,336,75,

%T 455,7,39,56,175,16,143,35,135,128,2975,27,15,675,384,51,495,320,2295,

%U 864,95,195,192,1683,720,4275,1440,147,1071,9,935,135,3591,20,663,27

%N Squared numerator of y-coordinate of 3rd point of the n-th triangle with integer sides in a sorted list corresponding to A331695. The y-coordinate is given by sqrt(a(n))/A331696(n).

%e a(1) = 3 because the 3rd point of the smallest triangle with integer sides (1,1,1) is at (x,y)=(1/2,sqrt(3)/2), A331695(1)=1, A331696(1)=2.

%e See A331695 for an extended list.

%Y Cf. A316841.

%Y Sides of triangle: A316843, A316844, A316845.

%Y Cf. A331695, A331696.

%K nonn

%O 1,1

%A _Hugo Pfoertner_, Jan 25 2020