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A010137 Continued fraction for sqrt(47). 5
6, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 12, 1, 5, 1, 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, 0, 1).

FORMULA

a(n)=(1/24)*{-47*(n mod 4)+43*[(n+1) mod 4]-5*[(n+2) mod 4]+85*[(n+3) mod 4]}-6*[C(2*n,n) mod 2], with n>=0. - Paolo P. Lava, Jul 23 2009

EXAMPLE

6.85565460040104412493587144... = 6 + 1/(1 + 1/(5 + 1/(1 + 1/(12 + ...)))). - Harry J. Smith, Jun 06 2009

MATHEMATICA

ContinuedFraction[Sqrt[47], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 07 2011 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(47)); for (n=0, 20000, write("b010137.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 06 2009

CROSSREFS

Cf. A010501 Decimal expansion. - Harry J. Smith, Jun 06 2009

Sequence in context: A230821 A160135 A178645 * A245967 A212006 A245725

Adjacent sequences:  A010134 A010135 A010136 * A010138 A010139 A010140

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified April 10 06:23 EDT 2020. Contains 333392 sequences. (Running on oeis4.)