Search: id:A040394
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%I A040394
%S A040394 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,
%T A040394 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,
%U A040394 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
%N A040394 Continued fraction for sqrt(415).
%H A040394 <a href="Sindx_Con.html#confC">Index entries for continued fractions 
               for constants</a>
%F A040394 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 (ppl(AT)spl.at), 
               Apr 30 2009]
%p A040394 with(numtheory): Digits := 300: convert(evalf(sqrt(415)),confrac);
%Y A040394 Sequence in context: A040419 A164812 A040395 this_sequence A040393 A040396 
               A037926
%Y A040394 Adjacent sequences: A040391 A040392 A040393 this_sequence A040395 A040396 
               A040397
%K A040394 nonn,cofr,easy
%O A040394 0,1
%A A040394 N. J. A. Sloane (njas(AT)research.att.com).

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