login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A040055 Continued fraction for sqrt(63). 4
7, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1, 14, 1 (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) = (1/2)*(15 + 13*(-1)^n) - 7*(binomial(2*n,n) mod 2), with n >= 0. - Paolo P. Lava, Jun 10 2009

EXAMPLE

7.9372539331937717715048472... = 7 + 1/(1 + 1/(14 + 1/(1 + 1/(14 + ...)))). - Harry J. Smith, Jun 07 2009

MAPLE

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

MATHEMATICA

ContinuedFraction[Sqrt[63], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 08 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 25000); x=contfrac(sqrt(63)); for (n=0, 20000, write("b040055.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 07 2009

CROSSREFS

Cf. A010516 Decimal expansion. - Harry J. Smith, Jun 07 2009

Cf. A020820 Decimal expansion of 1/sqrt(63).

Sequence in context: A203810 A225017 A268919 * A317016 A013614 A179530

Adjacent sequences:  A040052 A040053 A040054 * A040056 A040057 A040058

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 19 03:54 EDT 2019. Contains 325144 sequences. (Running on oeis4.)