A040043 Continued fraction for sqrt(51).

7, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7, 14, 7

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, 1).

Example

7.1414284285428499979993998... = 7 + 1/(7 + 1/(14 + 1/(7 + 1/(14 + ...)))). - Harry J. Smith, Jun 06 2009

Maple

Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):

Mathematica

ContinuedFraction[Sqrt[51], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 07 2011 *)
PadRight[{7}, 120, {14, 7}] (* Harvey P. Dale, May 22 2020 *)

Prog

(PARI) { allocatemem(932245000); default(realprecision, 41000); x=contfrac(sqrt(51)); for (n=0, 20000, write("b040043.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 06 2009

Crossrefs

Cf. A010504 Decimal expansion. - Harry J. Smith, Jun 06 2009

Sequence in context: A109539 A109541 A173314 * A339706 A355897 A003872

Adjacent sequences: A040040 A040041 A040042 * A040044 A040045 A040046

Keyword

nonn,cofr,easy

Author

N. J. A. Sloane

Status

approved