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A040035 Continued fraction for sqrt(42). 2
6, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2 (list; graph; refs; listen; history; text; internal format)
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).

FORMULA

a(n) = 7 + 5*(-1)^n - 6*(binomial(2*n,n) mod 2), with n>=0. - Paolo P. Lava, Jun 09 2009

EXAMPLE

6.4807406984078602309659674... = 6 + 1/(2 + 1/(12 + 1/(2 + 1/(12 + ...)))). - Harry J. Smith, Jun 05 2009

MAPLE

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

MATHEMATICA

ContinuedFraction[Sqrt[42], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 06 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 29000); x=contfrac(sqrt(42)); for (n=0, 20000, write("b040035.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 05 2009

CROSSREFS

Cf. A010496 Decimal expansion. - Harry J. Smith, Jun 05 2009

Sequence in context: A100616 A097474 A194351 * A065272 A070394 A065174

Adjacent sequences:  A040032 A040033 A040034 * A040036 A040037 A040038

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified July 23 15:58 EDT 2019. Contains 325258 sequences. (Running on oeis4.)