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Search: id:A081782
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| A081782 |
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Continued cotangent for the Gamma constant. |
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+0
1
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| 0, 1, 3, 16, 389, 479403, 590817544217, 473341703003810973963339, 269963674630454468003021997747122421847127276823, 84255020180725066155718508782582560544360994462142096519461567461295107080386955\ 008872752275165
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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Eric Weisstein's World of Mathematics, Lehmer Cotangent Expansion
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FORMULA
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Gamma=cot(sum(n>=0, n, (-1)^n*acot(a(n))); let b(0)=Gamma, 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]=Euler; ?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. A001620, A002666, A002667.
Sequence in context: A053466 A005031 A054939 this_sequence A081780 A002794 A132559
Adjacent sequences: A081779 A081780 A081781 this_sequence A081783 A081784 A081785
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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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