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A040198 Continued fraction for sqrt(213). +0
1
14, 1, 1, 2, 6, 1, 8, 1, 6, 2, 1, 1, 28, 1, 1, 2, 6, 1, 8, 1, 6, 2, 1, 1, 28, 1, 1, 2, 6, 1, 8, 1, 6, 2, 1, 1, 28, 1, 1, 2, 6, 1, 8, 1, 6, 2, 1, 1, 28, 1, 1, 2, 6, 1, 8, 1, 6, 2, 1, 1, 28, 1, 1, 2, 6, 1, 8, 1, 6, 2, 1, 1, 28, 1, 1, 2, 6, 1, 8, 1, 6, 2, 1, 1, 28, 1, 1, 2, 6, 1 (list; graph; listen)
OFFSET

0,1

LINKS

Index entries for continued fractions for constants

FORMULA

a(n)=(1/396)*{-862*(n mod 12)+29*[(n+1) mod 12]+62*[(n+2) mod 12]+161*[(n+3) mod 12]-136*[(n+4) mod 12]+260*[(n+5) mod 12]-202*[(n+6) mod 12]+194*[(n+7) mod 12]-103*[(n+8) mod 12]-4*[(n+9) mod 12]+29*[(n+10) mod 12]+860*[(n+11) mod 12]}-14*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Apr 24 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(213)), confrac);

CROSSREFS

Sequence in context: A002393 A040199 A040200 this_sequence A040197 A040196 A157633

Adjacent sequences: A040195 A040196 A040197 this_sequence A040199 A040200 A040201

KEYWORD

nonn,cofr,easy

AUTHOR

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

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Last modified December 4 15:11 EST 2009. Contains 170347 sequences.


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