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A040217 Continued fraction for sqrt(233). +0
1
15, 3, 1, 3, 1, 1, 1, 1, 3, 1, 3, 30, 3, 1, 3, 1, 1, 1, 1, 3, 1, 3, 30, 3, 1, 3, 1, 1, 1, 1, 3, 1, 3, 30, 3, 1, 3, 1, 1, 1, 1, 3, 1, 3, 30, 3, 1, 3, 1, 1, 1, 1, 3, 1, 3, 30, 3, 1, 3, 1, 1, 1, 1, 3, 1, 3, 30, 3, 1, 3, 1, 1, 1, 1, 3, 1, 3, 30, 3, 1, 3, 1, 1, 1, 1, 3, 1, 3, 30, 3 (list; graph; listen)
OFFSET

0,1

LINKS

Index entries for continued fractions for constants

FORMULA

a(n)=(1/605)*{-1437*(n mod )-62*[(n+1) mod 11]+158*[(n+2) mod 11]-62*[(n+3) mod 11]+48*[(n+4) mod 11]+48*[(n+5) mod 11]+48*[(n+6) mod 11]+158*[(n+7) mod 11]-62*[(n+8) mod 11]+158*[(n+9) mod 11]+1533*[(n+10) mod 11]}-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(233)), confrac);

CROSSREFS

Sequence in context: A040223 A076595 A040224 this_sequence A040218 A037924 A040219

Adjacent sequences: A040214 A040215 A040216 this_sequence A040218 A040219 A040220

KEYWORD

nonn,cofr,easy

AUTHOR

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

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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