A040953 Continued fraction for sqrt(985).

31, 2, 1, 1, 2, 62, 2, 1, 1, 2, 62, 2, 1, 1, 2, 62, 2, 1, 1, 2, 62, 2, 1, 1, 2, 62, 2, 1, 1, 2, 62, 2, 1, 1, 2, 62, 2, 1, 1, 2, 62, 2, 1, 1, 2, 62, 2, 1, 1, 2, 62, 2, 1, 1, 2, 62, 2, 1, 1, 2, 62, 2, 1, 1, 2, 62, 2, 1, 1, 2, 62, 2, 1, 1, 2, 62, 2, 1, 1, 2, 62, 2, 1, 1, 2

Offset

0,1

Links

Table of n, a(n) for n=0..84.

Index entries for continued fractions for constants

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

Formula

a(n)=(1/25)*{-266*(n mod 5)+29*[(n+1) mod 5]+34*[(n+2) mod 5]+39*[(n+3) mod 5]+334*[(n+4) mod 5]}-31*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Jun 03 2009]

G.f.: -(x+1)*(31*x^4-29*x^3+30*x^2-29*x+31)/((x-1)*(x^4+x^3+x^2+x+1)). [Colin Barker, Aug 11 2012]

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(985)), confrac);

Mathematica

ContinuedFraction[Sqrt[985], 100] (* or *) PadRight[{31}, 100, {62, 2, 1, 1, 2}] (* Harvey P. Dale, Sep 06 2019 *)

Crossrefs

Sequence in context: A172302 A103474 A047687 * A040952 A040951 A040950

Adjacent sequences: A040950 A040951 A040952 * A040954 A040955 A040956

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane.

Status

approved