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

Author

Paolo Xausa, Jun 19 2024

Keywords

• nonn
• base
• look

Examples

			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.
		

Links

• Paolo Xausa, Table of n, a(n) for n = 0..10000
• Index entries for continued fractions for constants

Crossrefs

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

Programs

Mathematica

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