A040965 Continued fraction for sqrt(997).

31, 1, 1, 2, 1, 4, 1, 1, 4, 1, 2, 1, 1, 62, 1, 1, 2, 1, 4, 1, 1, 4, 1, 2, 1, 1, 62, 1, 1, 2, 1, 4, 1, 1, 4, 1, 2, 1, 1, 62, 1, 1, 2, 1, 4, 1, 1, 4, 1, 2, 1, 1, 62, 1, 1, 2, 1, 4, 1, 1, 4, 1, 2, 1, 1, 62, 1, 1, 2, 1, 4, 1, 1, 4, 1, 2, 1, 1, 62, 1, 1, 2, 1, 4, 1, 1, 4, 1, 2, 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 (0,0,0,0,0,0,0,0,0,0,0,0,1).

Formula

G.f.: -(x + 1)*(31*x^12 - 30*x^11 + 31*x^10 - 29*x^9 + 30*x^8 - 26*x^7 + 27*x^6 - 26*x^5 + 30*x^4 - 29*x^3 + 31*x^2 - 30*x + 31)/((x - 1)*(x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1)). - Colin Barker, Aug 11 2012

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(997)), confrac);

Mathematica

ContinuedFraction[Sqrt[997], 120]  (* Harvey P. Dale, Apr 19 2011 *)
PadRight[{31}, 120, {62, 1, 1, 2, 1, 4, 1, 1, 4, 1, 2, 1, 1}] (* Harvey P. Dale, Aug 18 2016 *)

Crossrefs

Sequence in context: A086019 A040968 A040967 * A040966 A040964 A040963

Adjacent sequences: A040962 A040963 A040964 * A040966 A040967 A040968

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved