A373866 a(n) = maximum element in the continued fraction for Pi truncated to n decimal digits after the decimal point.

3, 10, 7, 10, 14, 25, 84, 243, 288, 291, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 351, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292

Offset

0,1

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Index entries for continued fractions for constants

Example

For n = 5, Pi truncated to 5 digits after the decimal point is 3.14159. The corresponding continued fraction is [3, 7, 15, 1, 25, 1, 7], whose maximum element is 25.

Mathematica

A373866[n_] := Max[ContinuedFraction[Floor[Pi*10^n]/10^n]];
Array[A373866, 100, 0]

Crossrefs

Cf. A000796, A001203, A081836 (analogous for phi), A081837 (analogous for e).

Sequence in context: A195922 A261836 A301937 * A185139 A300786 A182241

Adjacent sequences: A373862 A373863 A373865 * A373867 A373868 A373869

Keyword

nonn,base,look,new

Author

Paolo Xausa, Jun 19 2024

Status

approved