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A040223 Continued fraction for sqrt(239). 0
15, 2, 5, 1, 2, 4, 15, 4, 2, 1, 5, 2, 30, 2, 5, 1, 2, 4, 15, 4, 2, 1, 5, 2, 30, 2, 5, 1, 2, 4, 15, 4, 2, 1, 5, 2, 30, 2, 5, 1, 2, 4, 15, 4, 2, 1, 5, 2, 30, 2, 5, 1, 2, 4, 15, 4, 2, 1, 5, 2, 30, 2, 5, 1, 2, 4, 15, 4, 2, 1, 5, 2, 30, 2, 5, 1, 2, 4, 15, 4, 2, 1, 5, 2, 30, 2, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..86.

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, 0, 0, 1).

FORMULA

a(n)=(1/792)*{-1775*(n mod 12)+271*[(n+1) mod 12]-191*[(n+2) mod 12]+139*[(n+3) mod 12]+205*[(n+4) mod 12]+799*[(n+5) mod 12]-653*[(n+6) mod 12]-59*[(n+7) mod 12]+7*[(n+8) mod 12]+337*[(n+9) mod 12]-125*[(n+10) mod 12]+1921*[(n+11) mod 12]}-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(239)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[239], 90] (* Harvey P. Dale, Oct 31 2011 *)

CROSSREFS

Sequence in context: A146989 A166031 A040222 * A272724 A076595 A220376

Adjacent sequences:  A040220 A040221 A040222 * A040224 A040225 A040226

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 16 12:48 EST 2019. Contains 320163 sequences. (Running on oeis4.)