A010142 Continued fraction for sqrt(57).

7, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1, 4, 1, 1, 14, 1, 1

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

7.549834435270749697236684806... = 7 + 1/(1 + 1/(1 + 1/(4 + 1/(1 + ...)))). - Harry J. Smith, Jun 06 2009

Mathematica

ContinuedFraction[Sqrt[57], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 07 2011 *)
PadRight[{7}, 120, {14, 1, 1, 4, 1, 1}] (* Harvey P. Dale, Mar 28 2016 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 17000); x=contfrac(sqrt(57)); for (n=0, 20000, write("b010142.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 06 2009

Crossrefs

Cf. A010510 Decimal expansion. - Harry J. Smith, Jun 06 2009

Sequence in context: A090269 A086867 A090266 * A294646 A051422 A201670

Adjacent sequences: A010139 A010140 A010141 * A010143 A010144 A010145

Keyword

nonn,cofr

Author

N. J. A. Sloane

Status

approved