A042280 -id:A042280 - cp's OEIS frontend

A042281 Denominators of continued fraction convergents to sqrt(666).

1, 1, 5, 26, 31, 57, 373, 430, 2093, 2523, 17231, 19754, 36985, 204679, 855701, 1060380, 53874701, 54935081, 273615025, 1423010206, 1696625231, 3119635437, 20414437853, 23534073290, 114550731013, 138084804303, 943059556831, 1081144361134, 2024203917965

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. A042280.

Denominator[Convergents[Sqrt[666], 30]] (* Vincenzo Librandi, Jan 19 2014 *)

More terms from Vincenzo Librandi, Jan 19 2014

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

A042281 Denominators of continued fraction convergents to sqrt(666).

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