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

5, 8, 221, 1517, 7565, 2600, 71285, 257045, 84680, 488597, 1687397, 837224, 8732021, 15800621, 22953677, 75533477, 157326845, 296631725, 94070600, 514518485, 741527357, 269583560, 1945074605, 7391012837, 10076746685, 3192137000, 16843627085, 24001135925, 8707689224

Offset

1,1

References

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

Links

Table of n, a(n) for n=1..29.

Formula

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

Limit_{n->oo} a(n)/A382099(n) = 9.

Example

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

Crossrefs

Cf. A002559, A382099 (denominators).

Cf. A002163, A010466, A200991, A305308.

Sequence in context: A267003 A151827 A258044 * A162571 A046490 A155214

Adjacent sequences: A382095 A382096 A382097 * A382099 A382100 A382101

Keyword

nonn,frac

Author

Stefano Spezia, Mar 15 2025

Status

approved