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A382099
a(n) is the denominator of the square of the n-th Lagrange number.
1
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
1,3
REFERENCES
John H. Conway and Richard K. Guy, The Book of Numbers, New York: Springer-Verlag, 1996. See p. 187.
FORMULA
a(n) = denominator(9 - 4/A002559(n)^2).
Limit_{n->oo} A382098(n)/a(n) = 9.
EXAMPLE
5/1 = A002163^2;
8/1 = A010466^2;
221/25 = A200991^2;
1517/169 = A305308^2;
...
CROSSREFS
Cf. A002559, A382098 (numerators).
Sequence in context: A080109 A017126 A007204 * A120096 A115330 A213546
KEYWORD
nonn,frac
AUTHOR
Stefano Spezia, Mar 15 2025
STATUS
approved