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A040393 Continued fraction for sqrt(414). +0
1
20, 2, 1, 7, 2, 7, 1, 2, 40, 2, 1, 7, 2, 7, 1, 2, 40, 2, 1, 7, 2, 7, 1, 2, 40, 2, 1, 7, 2, 7, 1, 2, 40, 2, 1, 7, 2, 7, 1, 2, 40, 2, 1, 7, 2, 7, 1, 2, 40, 2, 1, 7, 2, 7, 1, 2, 40, 2, 1, 7, 2, 7, 1, 2, 40, 2, 1, 7, 2, 7, 1, 2, 40, 2, 1, 7, 2, 7, 1, 2, 40, 2, 1, 7, 2, 7, 1, 2 (list; graph; listen)
OFFSET

0,1

LINKS

Index entries for continued fractions for constants

FORMULA

a(n)=(1/112)*{-501*(n mod 8)+17*[(n+1) mod 8]+115*[(n+2) mod 8]-39*[(n+3) mod 8]+101*[(n+4) mod 8]-53*[(n+5) mod 8]+45*[(n+6) mod 8]+563*[(n+7) mod 8]}-20*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Apr 30 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(414)), confrac);

CROSSREFS

Sequence in context: A164812 A040395 A040394 this_sequence A040396 A037926 A040397

Adjacent sequences: A040390 A040391 A040392 this_sequence A040394 A040395 A040396

KEYWORD

nonn,cofr,easy

AUTHOR

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

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Last modified December 5 20:25 EST 2009. Contains 170428 sequences.


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