cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-1 of 1 results.

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

Original entry on oeis.org

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

Views

Author

Stefano Spezia, Mar 15 2025

Keywords

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).

Formula

a(n) = denominator(9 - 4/A002559(n)^2).
Limit_{n->oo} A382098(n)/a(n) = 9.
Showing 1-1 of 1 results.