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A010133 Continued fraction for sqrt(41). 2
6, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12, 2, 2, 12 (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, 1).

FORMULA

a(n)=(1/9)*{-14*(n mod 3)+16*[(n+1) mod 3]+46*[(n+2) mod 3]}-6*[C(2*n,n) mod 2], with n>=0. - Paolo P. Lava, Jul 23 2009

EXAMPLE

6.40312423743284868648821767... = 6 + 1/(2 + 1/(2 + 1/(12 + 1/(2 + ...)))). - Harry J. Smith, Jun 05 2009

MATHEMATICA

ContinuedFraction[Sqrt[41], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 06 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 25000); x=contfrac(sqrt(41)); for (n=0, 20000, write("b010133.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 05 2009

CROSSREFS

Cf. A010495 Decimal expansion. - Harry J. Smith, Jun 05 2009

Sequence in context: A093497 A092138 A138995 * A065280 A247672 A188726

Adjacent sequences:  A010130 A010131 A010132 * A010134 A010135 A010136

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified December 14 01:31 EST 2019. Contains 329978 sequences. (Running on oeis4.)