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A040292 Continued fraction for sqrt(310). +0
1
17, 1, 1, 1, 1, 5, 3, 1, 2, 1, 3, 5, 1, 1, 1, 1, 34, 1, 1, 1, 1, 5, 3, 1, 2, 1, 3, 5, 1, 1, 1, 1, 34, 1, 1, 1, 1, 5, 3, 1, 2, 1, 3, 5, 1, 1, 1, 1, 34, 1, 1, 1, 1, 5, 3, 1, 2, 1, 3, 5, 1, 1, 1, 1, 34, 1, 1, 1, 1, 5, 3, 1, 2, 1, 3, 5, 1, 1, 1, 1, 34, 1, 1, 1, 1, 5, 3, 1, 2, 1 (list; graph; listen)
OFFSET

0,1

LINKS

Index entries for continued fractions for constants

FORMULA

a(n)=(1/960)*{-1949*(n mod 16)+31*[(n+1) mod 16]+31*[(n+2) mod 16]+31*[(n+3) mod 16]+271*[(n+4) mod 16]-89*[(n+5) mod 16]-89*[(n+6) mod 16]+91*[(n+7) mod 16]-29*[(n+8) mod 16]+151*[(n+9) mod 16]+151*[(n+10) mod 16]-209*[(n+11) mod 16]+31*[(n+12) mod 16]+31*[(n+13) mod 16]+31*[(n+14) mod 16]+2011*[(n+15) mod 16]}-17*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Apr 27 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(310)), confrac);

CROSSREFS

Sequence in context: A144692 A088469 A089170 this_sequence A040293 A040294 A040291

Adjacent sequences: A040289 A040290 A040291 this_sequence A040293 A040294 A040295

KEYWORD

nonn,cofr,easy

AUTHOR

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

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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