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A040020 Continued fraction for sqrt(26). 5
5, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 (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 (1).

FORMULA

a(n) = 10 - 5*(binomial(2*n,n) mod 2), with n>=0. - Paolo P. Lava, Jun 09 2009

EXAMPLE

5.09901951359278483002822... = 5 + 1/(10 + 1/(10 + 1/(10 + 1/(10 + ...)))). - Harry J. Smith, Jun 03 2009

MAPLE

numtheory[cfrac](sqrt(26), 100, 'quotients'); # obsolete code updated by Alois P. Heinz, Feb 24 2018

MATHEMATICA

ContinuedFraction[Sqrt[26], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 05 2011 *)

PROG

(PARI) contfrac(sqrt(26)) \\ Harry J. Smith, Jun 03 2009 [Edited by M. F. Hasler, Feb 24 2018]

(PARI) A040020(n)=if(n, 10, 5) \\ M. F. Hasler, Feb 24 2018

CROSSREFS

Cf. A010481 Decimal expansion. - Harry J. Smith, Jun 03 2009

Sequence in context: A065755 A135912 A200990 * A222181 A282172 A123337

Adjacent sequences:  A040017 A040018 A040019 * A040021 A040022 A040023

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 15 10:59 EDT 2018. Contains 316222 sequences. (Running on oeis4.)