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A040394 Continued fraction for sqrt(415). 0
20, 2, 1, 2, 4, 6, 1, 1, 3, 1, 1, 6, 4, 2, 1, 2, 40, 2, 1, 2, 4, 6, 1, 1, 3, 1, 1, 6, 4, 2, 1, 2, 40, 2, 1, 2, 4, 6, 1, 1, 3, 1, 1, 6, 4, 2, 1, 2, 40, 2, 1, 2, 4, 6, 1, 1, 3, 1, 1, 6, 4, 2, 1, 2, 40, 2, 1, 2, 4, 6, 1, 1, 3, 1, 1, 6, 4, 2, 1, 2, 40, 2, 1, 2, 4, 6, 1, 1, 3, 1 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

LINKS

Index entries for continued fractions for constants

FORMULA

a(n)=(1/1920)*{-4483*(n mod 16)-43*[(n+1) mod 16]+197*[(n+2) mod 16]+317*[(n+3) mod 16]+317*[(n+4) mod 16]-523*[(n+5) mod 16]+77*[(n+6) mod 16]+317*[(n+7) mod 16]-163*[(n+8) mod 16]+77*[(n+9) mod 16]+677*[(n+10) mod 16]-163*[(n+11) mod 16]-163*[(n+12) mod 16]-43*[(n+13) mod 16]+197*[(n+14) mod 16]+4637*[(n+15) mod 16]}-20*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Apr 30 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(415)), confrac);

CROSSREFS

Sequence in context: A200092 A164812 A040395 * A040393 A040396 A037926

Adjacent sequences:  A040391 A040392 A040393 * A040395 A040396 A040397

KEYWORD

nonn,cofr,easy

AUTHOR

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

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Last modified February 14 10:24 EST 2012. Contains 205614 sequences.