A010135 Continued fraction for sqrt(45).

6, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2, 2, 2, 1, 12, 1, 2

Offset

0,1

Links

Harry J. Smith, Table of n, a(n) for n = 0..20000

G. Xiao, Contfrac

Index entries for continued fractions for constants

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

Example

6.708203932499369089227521006... = 6 + 1/(1 + 1/(2 + 1/(2 + 1/(2 + ...)))). - Harry J. Smith, Jun 06 2009

Mathematica

ContinuedFraction[Sqrt[45], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 07 2011 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 17000); x=contfrac(sqrt(45)); for (n=0, 20000, write("b010135.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 06 2009

Crossrefs

Cf. A010499 (decimal expansion), A041076/A041077 (convergents).

Sequence in context: A244059 A121090 A321991 * A176401 A325977 A365164

Adjacent sequences: A010132 A010133 A010134 * A010136 A010137 A010138

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved