A079724 Triangle of numerators of numbers related to an approximation problem connected with Riemann hypothesis.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 5, 1, 3, 1, 1, 1, 1, 5, 1, 3, 1, 1, 1, 1, 1, 5, 1, 3, 1, 1, 1, 1, 1, 1, 5, 1, 3, 1, 1, 1, 1, 1

Offset

1,19

Comments

For each n there are n rational numbers f(n,i)/g(n,i) 1 <= i <= n; for f(n,i) see A079723 (see Link Table 4).

Links

Table of n, a(n) for n=1..55.

B. Landreau and F. Richard, Le critère de Beurling et Nyman pour l'hypothèse de Riemann: aspects numériques, Exper. Math., 11 (2002), 349-360.

Example

Triangle of rationals starts:
1;
1, 1/3;
1, 1/2, 1/3;
1, 1/2, 1/3, 1/5;
1, 1/2, 1/3, 1/5, 1/7;
1, 1/2, 1/3, 3/11, 1/5, 1/7;
...

Crossrefs

Cf. A079722, A079723 (denominators).

Sequence in context: A361239 A140334 A131324 * A289357 A111368 A140750

Adjacent sequences: A079721 A079722 A079723 * A079725 A079726 A079727

Keyword

nonn,frac,tabl

Author

N. J. A. Sloane, Feb 17 2003

Extensions

Definition corrected (was denominators) by Michel Marcus, Aug 10 2014

Status

approved