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A382098 a(n) is the numerator of the square of the n-th Lagrange number.

%I A382098 #7 Mar 19 2025 10:03:06
%S A382098 5,8,221,1517,7565,2600,71285,257045,84680,488597,1687397,837224,
%T A382098 8732021,15800621,22953677,75533477,157326845,296631725,94070600,
%U A382098 514518485,741527357,269583560,1945074605,7391012837,10076746685,3192137000,16843627085,24001135925,8707689224
%N A382098 a(n) is the numerator of the square of the n-th Lagrange number.
%D A382098 John H. Conway and Richard K. Guy, The Book of Numbers, New York: Springer-Verlag, 1996. See p. 187.
%F A382098 a(n) = numerator(9 - 4/A002559(n)^2).
%F A382098 Limit_{n->oo} a(n)/A382099(n) = 9.
%e A382098 5/1 = A002163^2;
%e A382098 8/1 = A010466^2;
%e A382098 221/25 = A200991^2;
%e A382098 1517/169 = A305308^2;
%e A382098 ...
%Y A382098 Cf. A002559, A382099 (denominators).
%Y A382098 Cf. A002163, A010466, A200991, A305308.
%K A382098 nonn,frac
%O A382098 1,1
%A A382098 _Stefano Spezia_, Mar 15 2025