Search: id:A081784
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%I A081784
%S A081784 1,10,122,33429,1447509608,3251816299888840778,
%T A081784 10657606087425320549792856871886476385,
%U A081784 1233698091085791193532165615536619532897409600456434390187369062304735077655
%N A081784 Continued cotangent for zeta(3).
%F A081784 zeta(3)=cot(sum(n>=0, n, (-1)^n*acot(a(n))); let b(0)=zeta(3), b(n)=(b(n-1)*floor(b(n-1))+1)/
               (b(n-1)-floor(b(n-1)) then a(n)=floor(b(n))
%o A081784 (PARI) ?bn=vector(100); b(n)=if(n<0,0,bn[n]); bn[1]=zeta(3); ?for(n=2,
               10,bn[n]=(b(n-1)*floor(b(n-1))+1)/(b(n-1)-floor(b(n-1)))) ?a(n)=floor(b(n+1))
%Y A081784 Cf. A001620, A002666, A002667.
%Y A081784 Sequence in context: A091692 A098309 A056116 this_sequence A005174 A034668 
               A123358
%Y A081784 Adjacent sequences: A081781 A081782 A081783 this_sequence A081785 A081786 
               A081787
%K A081784 nonn
%O A081784 0,2
%A A081784 Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 10 2003

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