A010139 Continued fraction for sqrt(53).

7, 3, 1, 1, 3, 14, 3, 1, 1, 3, 14, 3, 1, 1, 3, 14, 3, 1, 1, 3, 14, 3, 1, 1, 3, 14, 3, 1, 1, 3, 14, 3, 1, 1, 3, 14, 3, 1, 1, 3, 14, 3, 1, 1, 3, 14, 3, 1, 1, 3, 14, 3, 1, 1, 3, 14, 3, 1, 1, 3, 14, 3, 1, 1, 3, 14, 3, 1, 1, 3, 14, 3, 1, 1, 3

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr

Examples

			7.280109889280518271097302491... = 7 + 1/(3 + 1/(1 + 1/(1 + 1/(3 + ...)))). - _Harry J. Smith_, Jun 06 2009
		

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, 1).

Crossrefs

Cf. A010506 Decimal expansion. - Harry J. Smith, Jun 06 2009

Programs

Mathematica

ContinuedFraction[Sqrt[53],300] (* Vladimir Joseph Stephan Orlovsky, Mar 07 2011 *)
PadRight[{7},120,{14,3,1,1,3}] (* Harvey P. Dale, May 22 2016 *)

PARI

{ allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(53)); for (n=0, 20000, write("b010139.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 06 2009