A042281 -id:A042281 - cp's OEIS frontend

A042280 Numerators of continued fraction convergents to sqrt(666).

25, 26, 129, 671, 800, 1471, 9626, 11097, 54014, 65111, 444680, 509791, 954471, 5282146, 22083055, 27365201, 1390343105, 1417708306, 7061176329, 36723589951, 43784766280, 80508356231, 526834903666

Offset: 0

N. J. A. Sloane

Vincenzo Librandi, Table of n, a(n) for n = 0..200
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54730402, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Cf. A042281.

Numerator[Convergents[Sqrt[666], 30]] (* Vincenzo Librandi, Nov 20 2013 *)

A040640 Continued fraction for sqrt(666).

Original entry on oeis.org

25, 1, 4, 5, 1, 1, 6, 1, 4, 1, 6, 1, 1, 5, 4, 1, 50, 1, 4, 5, 1, 1, 6, 1, 4, 1, 6, 1, 1, 5, 4, 1, 50, 1, 4, 5, 1, 1, 6, 1, 4, 1, 6, 1, 1, 5, 4, 1, 50, 1, 4, 5, 1, 1, 6, 1, 4, 1, 6, 1, 1, 5, 4, 1, 50, 1, 4, 5, 1, 1, 6, 1, 4, 1, 6, 1, 1, 5, 4, 1, 50, 1, 4, 5, 1, 1, 6, 1, 4, 1

Offset: 0

N. J. A. Sloane

Paolo Xausa, Table of n, a(n) for n = 0..10000
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, 1).

Cf. A042280/A042281 (convergents), A366248.

with(numtheory): Digits := 300: convert(evalf(sqrt(666)),confrac);

ContinuedFraction[Sqrt[666],100] (* Paolo Xausa, Oct 14 2023 *)

cp's OEIS Frontend

A042280 Numerators of continued fraction convergents to sqrt(666).

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