%I A065375
%S A065375 1,1,3,2,4,3,7,5,17,12,24,17,41,29,99,70,140,99,239,169,577,408,816,
%T A065375 577,1393,985,3363,2378,8119,5741,19601,13860,47321,33461,114243,80782,
%U A065375 275807,195025
%N A065375 The next smallest pair of numbers is taken so that a(2n-1)/a(2n) converges 
               to sqrt(2).
%C A065375 "Next smallest" means that a(2n-1)+a(2n) is the smallest value that is 
               greater than the previous pair.
%e A065375 abs(1/1-sqrt(2)) > abs(3/2-sqrt(2)) > abs(4/3-sqrt(2)) > abs(7/5-sqrt(2)) 
               > abs(17/12-sqrt(2)) > ... > 0
%Y A065375 Sequence in context: A147598 A023869 A024596 this_sequence A070961 A061721 
               A066257
%Y A065375 Adjacent sequences: A065372 A065373 A065374 this_sequence A065376 A065377 
               A065378
%K A065375 nonn
%O A065375 1,3
%A A065375 Bodo Zinser (BodoZinser(AT)Compuserve.com), Nov 22 2001