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A040223 Continued fraction for sqrt(239). +0
1
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; listen)
OFFSET

0,1

LINKS

Index entries for continued fractions for constants

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 (ppl(AT)spl.at), Apr 23 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(239)), confrac);

CROSSREFS

Sequence in context: A146989 A166031 A040222 this_sequence A076595 A040224 A040217

Adjacent sequences: A040220 A040221 A040222 this_sequence A040224 A040225 A040226

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.


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