A040520 Continued fraction for sqrt(544).

23, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11, 3, 46, 3, 11

Offset

0,1

Links

Table of n, a(n) for n=0..74.

Index entries for continued fractions for constants

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

Formula

From Wesley Ivan Hurt, Apr 16 2024: (Start)

a(n) = (63 + 51*(-1)^n + 70*cos(n*Pi/2))/4, for n>=1, with a(0) = 23.

a(n+4) = a(n) for n>=1. (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(544)), confrac);

Mathematica

ContinuedFraction[Sqrt[544], 80] (* or *) PadRight[{23}, 80, {46, 3, 11, 3, 46, 3, 11, 3}] (* Harvey P. Dale, Aug 14 2014 *)

Crossrefs

Sequence in context: A354206 A040517 A040519 * A271473 A317323 A040515

Adjacent sequences: A040517 A040518 A040519 * A040521 A040522 A040523

Keyword

nonn,cofr,easy,less

Author

N. J. A. Sloane.

Status

approved