A010165 Continued fraction for sqrt(94).

9, 1, 2, 3, 1, 1, 5, 1, 8, 1, 5, 1, 1, 3, 2, 1, 18, 1, 2, 3, 1, 1, 5, 1, 8, 1, 5, 1, 1, 3, 2, 1, 18, 1, 2, 3, 1, 1, 5, 1, 8, 1, 5, 1, 1, 3, 2, 1, 18, 1, 2, 3, 1, 1, 5, 1, 8, 1, 5, 1, 1, 3, 2, 1, 18, 1, 2, 3, 1, 1, 5, 1, 8, 1, 5, 1, 1, 3, 2, 1

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr

Examples

			9.695359714832658028148881150... = 9 + 1/(1 + 1/(2 + 1/(3 + 1/(1 + ...)))). - _Harry J. Smith_, Jun 11 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Crossrefs

Cf. A010545 Decimal expansion. - Harry J. Smith, Jun 11 2009

Programs

Mathematica

ContinuedFraction[Sqrt[94],300] (* Vladimir Joseph Stephan Orlovsky, Mar 10 2011 *)
PadRight[{9},120,{18,1,2,3,1,1,5,1,8,1,5,1,1,3,2,1}] (* Harvey P. Dale, Aug 20 2020 *)

PARI

{ allocatemem(932245000); default(realprecision, 17000); x=contfrac(sqrt(94)); for (n=0, 20000, write("b010165.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 11 2009