A081782 Continued cotangent for the Gamma constant.

0, 1, 3, 16, 389, 479403, 590817544217, 473341703003810973963339, 269963674630454468003021997747122421847127276823, 84255020180725066155718508782582560544360994462142096519461567461295107080386955008872752275165

Offset

0,3

Links

Table of n, a(n) for n=0..9.

Eric Weisstein's World of Mathematics, Lehmer Cotangent Expansion

Formula

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))

Prog

(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))

Crossrefs

Cf. A001620, A002666, A002667.

Sequence in context: A300960 A224440 A054939 * A176299 A081780 A362382

Adjacent sequences: A081779 A081780 A081781 * A081783 A081784 A081785

Keyword

nonn

Author

Benoit Cloitre, Apr 10 2003

Status

approved