A040847 Continued fraction for sqrt(877).

29, 1, 1, 1, 1, 2, 4, 1, 1, 4, 2, 1, 1, 1, 1, 58, 1, 1, 1, 1, 2, 4, 1, 1, 4, 2, 1, 1, 1, 1, 58, 1, 1, 1, 1, 2, 4, 1, 1, 4, 2, 1, 1, 1, 1, 58, 1, 1, 1, 1, 2, 4, 1, 1, 4, 2, 1, 1, 1, 1, 58, 1, 1, 1, 1, 2, 4, 1, 1, 4, 2, 1, 1, 1, 1, 58, 1, 1, 1, 1, 2, 4, 1, 1, 4, 2, 1, 1, 1, 1

Offset

0,1

Links

Table of n, a(n) for n=0..89.

Index entries for continued fractions for constants

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

Formula

G.f.: -(x +1)*(x^2 -x +1)*(29*x^12 +x^11 +x^10 -28*x^9 +x^7 +32*x^6 +x^5 -28*x^3 +x^2 +x +29)/((x -1)*(x^2 +x +1)*(x^4 +x^3 +x^2 +x +1)*(x^8 -x^7 +x^5 -x^4 +x^3 -x +1)). [Colin Barker, Aug 11 2012]

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(877)), confrac);

Mathematica

ContinuedFraction[Sqrt[877], 100] (* Paolo Xausa, Nov 11 2025 *)
PadRight[{29}, 120, {58, 1, 1, 1, 1, 2, 4, 1, 1, 4, 2, 1, 1, 1, 1}] (* Harvey P. Dale, Apr 06 2026 *)

Crossrefs

Cf. A042694, A042695 (convergents).

Sequence in context: A243001 A092995 A055785 * A040848 A040849 A040850

Adjacent sequences: A040844 A040845 A040846 * A040848 A040849 A040850

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved