Search: id:A040393
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%I A040393
%S A040393 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,
%T A040393 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,
%U A040393 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
%N A040393 Continued fraction for sqrt(414).
%H A040393 <a href="Sindx_Con.html#confC">Index entries for continued fractions 
               for constants</a>
%F A040393 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]
%p A040393 with(numtheory): Digits := 300: convert(evalf(sqrt(414)),confrac);
%Y A040393 Sequence in context: A164812 A040395 A040394 this_sequence A040396 A037926 
               A040397
%Y A040393 Adjacent sequences: A040390 A040391 A040392 this_sequence A040394 A040395 
               A040396
%K A040393 nonn,cofr,easy
%O A040393 0,1
%A A040393 N. J. A. Sloane (njas(AT)research.att.com).

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