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A040227 Continued fraction for sqrt(243). 1
15, 1, 1, 2, 3, 15, 3, 2, 1, 1, 30, 1, 1, 2, 3, 15, 3, 2, 1, 1, 30, 1, 1, 2, 3, 15, 3, 2, 1, 1, 30, 1, 1, 2, 3, 15, 3, 2, 1, 1, 30, 1, 1, 2, 3, 15, 3, 2, 1, 1, 30, 1, 1, 2, 3, 15, 3, 2, 1, 1, 30, 1, 1, 2, 3, 15, 3, 2, 1, 1, 30, 1, 1, 2, 3, 15, 3, 2, 1, 1, 30, 1, 1, 2, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..84.

Index entries for continued fractions for constants

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

FORMULA

a(n)=(1/450)*{-1246*(n mod 10)+59*[(n+1) mod 10]+104*[(n+2) mod 10]+104*[(n+3) mod 10]+599*[(n+4) mod 10]-481*[(n+5) mod 10]+14*[(n+6) mod 10]+14*[(n+7) mod 10]+59*[(n+8) mod 10]+1364*[(n+9) mod 10]}-15*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava, Apr 23 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(243)), confrac);

CROSSREFS

Sequence in context: A040229 A318650 A281571 * A040226 A172429 A040225

Adjacent sequences:  A040224 A040225 A040226 * A040228 A040229 A040230

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 16 02:39 EST 2019. Contains 320140 sequences. (Running on oeis4.)