A040435 Continued fraction for sqrt(457).

21, 2, 1, 1, 1, 5, 2, 13, 1, 3, 1, 4, 1, 1, 4, 1, 3, 1, 13, 2, 5, 1, 1, 1, 2, 42, 2, 1, 1, 1, 5, 2, 13, 1, 3, 1, 4, 1, 1, 4, 1, 3, 1, 13, 2, 5, 1, 1, 1, 2, 42, 2, 1, 1, 1, 5, 2, 13, 1, 3, 1, 4, 1, 1, 4, 1, 3, 1, 13, 2, 5, 1, 1, 1, 2, 42, 2, 1, 1, 1, 5, 2, 13, 1, 3, 1, 4, 1

Offset

0,1

Links

Table of n, a(n) for n=0..87.

Index entries for continued fractions for constants

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(457)), confrac);

Mathematica

ContinuedFraction[Sqrt[457], 100] (* Paolo Xausa, Oct 13 2025 *)

Crossrefs

Cf. A041870, A041871 (convergents).

Sequence in context: A252939 A132166 A092083 * A040434 A040437 A040436

Adjacent sequences: A040432 A040433 A040434 * A040436 A040437 A040438

Keyword

nonn,cofr,easy,less

Author

N. J. A. Sloane

Status

approved