Search: id:A015884
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%I A015884
%S A015884 3,7,113,4739,46804,134370,614063,1669512,15474115,18858140,19180902,
%T A015884 41486462,492988666,1794101482,34644610027,48670872793,97414216753,
%U A015884 138669015304,195575194804,543142431219,3173502039447,4968328076747
%N A015884 A modified Pierce-type expansion for Pi: Pi = a(0)+Sum[ (-1)^Floor(n/
               2)/Product[a(i),{i,1,n}],{n,1,Infinity} ] = 3 + 1/7 - 1/7*113 - 1/
               7*113*4739 + 1/7*113*4739*46804 + 1/7*113*4739*46804*134370 - 1/7*113*4739*46804*134370*614063 
               - 1/7*113*4739*46804*134370*614063*1669512 + ...
%H A015884 <a href="Sindx_El.html#Engel">Index entries for sequences related to 
               Engel expansions</a>
%F A015884 a(0) = floor(Pi); A(1) = Pi-a(0); a(2*n-1) = floor(1/A(2*n-1)); A(2*n) 
               = 1-a(2*n-1)*A(2*n-1); a(2*n) = ceiling(1/A(2*n)) and A(2*n+1) = 
               a(2*n)*A(2*n)-1 for n >= 1.
%Y A015884 Cf. A061233.
%Y A015884 Sequence in context: A158467 A028414 A014014 this_sequence A156201 A066771 
               A139159
%Y A015884 Adjacent sequences: A015881 A015882 A015883 this_sequence A015885 A015886 
               A015887
%K A015884 nonn
%O A015884 0,1
%A A015884 Antreas P. Hatzipolakis (xpolakis(AT)otenet.gr), Jun 02 2000
%E A015884 Better description and more terms from Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), 
               Jun 28 2001

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