%I A008347
%S A008347 0,2,1,4,3,8,5,12,7,16,13,18,19,22,21,26,27,32,29,38,33,40,39,44,45,52,
               49,
%T A008347 54,53,56,57,70,61,76,63,86,65,92,71,96,77,102,79,112,81,116,83,128,95,
%U A008347 132,97,136,103,138,113,144,119,150,121,156,125,158,135,172,139,174,143
%N A008347 a(n) = sum_{i=0..n-1} (-1)^i prime(n-i).
%C A008347 Define the sequence b(n) by b(1) = 1; b(n) = 1-(prime(n-1)/prime(n))*b(n-1) 
               if n > 1. Then b(n) = a(n)/prime(n). Does lim b(n) exist? If so, 
               it must equal 1/2. - Joseph L. Pe, Feb 17 2003
%H A008347 T. D. Noe, <a href="b008347.txt">Table of n, a(n) for n = 0..2000</a>
%F A008347 a(n) = prime(n) - a(n-1) for n>=1.
%p A008347 A008347 := proc(n) options remember; if n = 0 then 0 else abs(A008347(n-1)-ithprime(n)); 
               fi; end;
%Y A008347 Sequence in context: A074987 A128280 A106625 this_sequence A112387 A076077 
               A152194
%Y A008347 Adjacent sequences: A008344 A008345 A008346 this_sequence A008348 A008349 
               A008350
%K A008347 nonn
%O A008347 0,2
%A A008347 N. J. A. Sloane (njas(AT)research.att.com) and J. H. Conway (conway(AT)math.princeton.edu)