A382099 a(n) is the denominator of the square of the n-th Lagrange number.

1, 1, 25, 169, 841, 289, 7921, 28561, 9409, 54289, 187489, 93025, 970225, 1755625, 2550409, 8392609, 17480761, 32959081, 10452289, 57168721, 82391929, 29953729, 216119401, 821223649, 1119638521, 354681889, 1871514121, 2666792881, 967521025, 5628750625, 9323254249

Offset: 1

Author

Stefano Spezia, Mar 15 2025

Keywords

• nonn
• frac

Examples

			5/1 = A002163^2;
8/1 = A010466^2;
221/25 = A200991^2;
1517/169 = A305308^2;
...
		

References

• John H. Conway and Richard K. Guy, The Book of Numbers, New York: Springer-Verlag, 1996. See p. 187.

Crossrefs

Cf. A002559, A382098 (numerators).

Cf. A002163, A010466, A200991, A305308.

Formula

a(n) = denominator(9 - 4/A002559(n)^2).

Limit_{n->oo} A382098(n)/a(n) = 9.