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A373866
a(n) = maximum element in the continued fraction for Pi truncated to n decimal digits after the decimal point.
3
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
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
KEYWORD
nonn,base,look
AUTHOR
Paolo Xausa, Jun 19 2024
STATUS
approved