A010145 Continued fraction for sqrt(61).

7, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14, 1, 4, 3, 1, 2, 2, 1, 3, 4, 1, 14

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr

Examples

			7.810249675906654394129722735... = 7 + 1/(1 + 1/(4 + 1/(3 + 1/(1 + ...)))). - _Harry J. Smith_, Jun 07 2009
		

Links

• Harry J. Smith, Table of n, a(n) for n = 0..20000
• A. J. van der Poorten, An introduction to continued fractions, Unpublished.
• A. J. van der Poorten, An introduction to continued fractions, Unpublished [Cached copy]
• 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, 0, 0, 0, 1).

Crossrefs

Cf. A010514 Decimal expansion. - Harry J. Smith, Jun 07 2009

Programs

Mathematica

ContinuedFraction[Sqrt[61],300] (* Vladimir Joseph Stephan Orlovsky, Mar 08 2011 *)
PadRight[{7},120,{14,1,4,3,1,2,2,1,3,4,1}] (* Harvey P. Dale, Mar 27 2013 *)

PARI

{ allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(61)); for (n=0, 20000, write("b010145.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 07 2009