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Search: id:A081786
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| A081786 |
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Continued cotangent for log(3). |
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+0
1
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| 1, 21, 1591, 5623795, 60586207387643, 11771746654268128293298294264, 223879928814222731378358322195036233470100990978181612407, 60370531495558553873551440308434816125184142701829318337696802178075590153432959525193229753905998692773283506988
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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log(3)=cot(sum(n>=0, n, (-1)^n*acot(a(n))); let b(0)=log(3), b(n)=(b(n-1)*floor(b(n-1))+1)/(b(n-1)-floor(b(n-1)) then a(n)=floor(b(n))
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PROGRAM
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(PARI) ?bn=vector(100); b(n)=if(n<0, 0, bn[n]); bn[1]=log(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))
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CROSSREFS
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Cf. A002666, A002667.
Sequence in context: A118446 A130332 A035319 this_sequence A130039 A007593 A119099
Adjacent sequences: A081783 A081784 A081785 this_sequence A081787 A081788 A081789
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 10 2003
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