A096464 Let p(k)/q(k) = A096456(k)/A096463(k) be the k-th convergent to Pi/2; sequence gives numbers n such that |tan(p(n))|/p(n) sets a new maximal record.

1, 4, 118, 136, 315, 3727, 3763, 15503, 153396, 156559, 984404, 1119377

Offset

1,2

Links

Table of n, a(n) for n=1..12.

I. Rosenholtz, Tangent sequences, world records, ..., Math. Mag., 72 (No. 5, 1999), 367-376.

Example

The fifth term is 315. This means that at p(315), which is a number near 2.37*10^154, |tan(p(315))|/p(315) sets a new record, a number near 556.31.

Crossrefs

Cf. A096463, A096456, A053300.

Sequence in context: A030255 A146508 A365450 * A285053 A264420 A283035

Adjacent sequences: A096461 A096462 A096463 * A096465 A096466 A096467

Keyword

nonn

Author

N. J. A. Sloane, Aug 16 2004

Status

approved