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A040565 Continued fraction for sqrt(590). 2
24, 3, 2, 4, 2, 3, 48, 3, 2, 4, 2, 3, 48, 3, 2, 4, 2, 3, 48, 3, 2, 4, 2, 3, 48, 3, 2, 4, 2, 3, 48, 3, 2, 4, 2, 3, 48, 3, 2, 4, 2, 3, 48, 3, 2, 4, 2, 3, 48, 3, 2, 4, 2, 3, 48, 3, 2, 4, 2, 3, 48, 3, 2, 4, 2, 3, 48, 3, 2, 4, 2, 3, 48, 3, 2, 4, 2, 3, 48, 3, 2, 4, 2, 3, 48, 3, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Matthew House, Table of n, a(n) for n = 0..10000

Index entries for continued fractions for constants

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1).

FORMULA

a(n) = (1/90)*(-613*(n mod 6)+47*((n+1) mod 6)+92*((n+2) mod 6)+32*((n+3) mod 6)+77*((n+4) mod 6)+737*((n+5) mod 6))-24*(C(2*n,n) mod 2). - Paolo P. Lava, May 15 2009

From Matthew House, Feb 11 2017: (Start)

G.f.: (24+3*x+2*x^2+4*x^3+2*x^4+3*x^5+24*x^6)/(1-x^6).

a(n) = a(n-6). (End)

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(590)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[590], 90] (* Harvey P. Dale, Dec 11 2011 *)

PROG

(PARI) contfrac(sqrt(590)) \\ Michel Marcus, Feb 11 2017

CROSSREFS

Sequence in context: A184885 A159540 A040564 * A202397 A040566 A070707

Adjacent sequences:  A040562 A040563 A040564 * A040566 A040567 A040568

KEYWORD

nonn,cofr,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 26 20:56 EDT 2021. Contains 346300 sequences. (Running on oeis4.)