A010129 Continued fraction for sqrt(31).

5, 1, 1, 3, 5, 3, 1, 1, 10, 1, 1, 3, 5, 3, 1, 1, 10, 1, 1, 3, 5, 3, 1, 1, 10, 1, 1, 3, 5, 3, 1, 1, 10, 1, 1, 3, 5, 3, 1, 1, 10, 1, 1, 3, 5, 3, 1, 1, 10, 1, 1, 3, 5, 3, 1, 1, 10, 1, 1, 3, 5, 3, 1, 1, 10, 1, 1, 3, 5, 3, 1, 1, 10, 1, 1, 3, 5, 3

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, 0, 0, 1).

Formula

5.567764362830021922119471298... = 5 + 1/(1 + 1/(1 + 1/(3 + 1/(5 + ...)))). - Harry J. Smith, Jun 04 2009

Mathematica

ContinuedFraction[Sqrt[31], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 06 2011 *)
PadRight[{5}, 120, {10, 1, 1, 3, 5, 3, 1, 1}] (* Harvey P. Dale, Jan 10 2025 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(31)); for (n=0, 20000, write("b010129.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 04 2009

Crossrefs

Cf. A010486 Decimal expansion. - Harry J. Smith, Jun 04 2009

Sequence in context: A180136 A346916 A359667 * A073050 A366426 A154740

Adjacent sequences: A010126 A010127 A010128 * A010130 A010131 A010132

Keyword

nonn,cofr

Author

N. J. A. Sloane

Status

approved