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A010141 Continued fraction for sqrt(55). 4
7, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14 (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, 0, 0, 1).

FORMULA

a(n)=(1/6)*{-13*(n mod 4)+5*[(n+1) mod 4]+5*[(n+2) mod 4]+23*[(n+3) mod 4]}-7*[C(2*n,n) mod 2], with n>=0. - Paolo P. Lava, Jul 23 2009

EXAMPLE

7.41619848709566294871139744... = 7 + 1/(2 + 1/(2 + 1/(2 + 1/(14 + ...)))). - Harry J. Smith, Jun 06 2009

MATHEMATICA

ContinuedFraction[Sqrt[55], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 07 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 23000); x=contfrac(sqrt(55)); for (n=0, 20000, write("b010141.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 06 2009

CROSSREFS

Cf. A010508 Decimal expansion. - Harry J. Smith, Jun 06 2009

Sequence in context: A198415 A195723 A138996 * A316247 A299922 A199370

Adjacent sequences:  A010138 A010139 A010140 * A010142 A010143 A010144

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified September 21 23:55 EDT 2019. Contains 327286 sequences. (Running on oeis4.)