A343244 Position of the first occurrence of an element in the continued fraction of zeta(n) which is larger than the second element.

5, 4, 8, 14, 10, 63, 120, 79, 1270, 779, 1749, 3410, 13668, 17704, 20909, 175782, 127426

Offset

2,1

Comments

a(20) = 111604.

The corresponding values of the a(n)-th elements are 4, 18, 183, 32, 61, 9283, 462, 1483, 3530, 3484, 10812, 8954, ...

Links

Table of n, a(n) for n=2..18.

Example

The continued fraction of zeta(3) is [1; 4, 1, 18, 1, 1, ...]. The first element which is larger than 4 is 18 whose position is 4. Therefore, a(3) = 4.

Mathematica

a[n_] := Module[{c = ContinuedFraction[Zeta[n], 10000]}, FirstPosition[c, _?(# > c[[2]] &)][[1]]]; Array[a, 10, 2]

Crossrefs

Cf. A013697.

Cf. A013679, A013631, A013680, A013681, A013682, A013683, A013684, A013685.

Sequence in context: A187891 A086407 A160427 * A215337 A090124 A338346

Adjacent sequences: A343241 A343242 A343243 * A343245 A343246 A343247

Keyword

nonn,more

Author

Amiram Eldar, Apr 08 2021

Status

approved