Search: id:A157698
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%I A157698
%S A157698 4,0,7,1,5,9,4,2,7,3,8,2,0,6,7,3,1,5,3,0,6,4,8,4,7,1,3,7,5,3,3,8,3,5,2,
%T A157698 3,7,7,5,9,6,3,2,8,4,2,2,7,2,3,7,6,2,4,2,7,2,6,8,3,9,8,4,0,8,2,8,6,8,2,
%U A157698 5,1,3,9,7,3,4,1,8,0,2,7,3,7,8,2,3,3,5,5,9,0,1,2,0,7,7,2,1,5,4,8,0,0,4
%N A157698 Decimal expansion of sqrt(2)*(1+1/sqrt(3))+2*sqrt(2/5+1/sqrt(5)).
%C A157698 Equals 4*sum_{n=0..infinity} binomial(8n,4n)/8^(4n) .
%H A157698 D. H. Lehmer, <a href="http://www.jstor.org/stable/2322496">Interesting 
               series involving the Central Binomial Coefficient</a>, Am. Math. 
               Monthly 92, no 7 (1985) 449-457.
%e A157698 4.0715942738206731530648... = 4 * 1.017898568455...
%p A157698 sqrt(2)+sqrt(6)/3+2*sqrt(2/5+1/sqrt(5)) ;
%Y A157698 Sequence in context: A027857 A052400 A022895 this_sequence A057641 A133930 
               A077892
%Y A157698 Adjacent sequences: A157695 A157696 A157697 this_sequence A157699 A157700 
               A157701
%K A157698 cons,easy,nonn
%O A157698 1,1
%A A157698 R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 04 2009

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