%I A143607
%S A143607 1,3,4,7,10,17,24,41,58,99,140,239,338,577,816,1393,1970,3363,4756,8119,
%T A143607 11482,19601,27720,47321,66922,114243,161564,275807,390050,665857,
%U A143607 941664,1607521,2273378,3880899,5488420,9369319,13250218,22619537
%N A143607 Numerators of principal and intermediate convergents to 2^(1/2).
%C A143607 The principal and intermediate convergents to 2^(1/2) begin with 1/1, 
               3/2 4/3, 7/5, 10/7; essentially, numerators=A143607, denominators=A002965.
%D A143607 Serge Lang, Introduction to Diophantine Approximations, Addison-Wesley, 
               New York, 1966.
%D A143607 Clark Kimberling, "Best lower and upper approximates to irrational numbers,
               " Elemente der Mathematik, 52 (1997) 122-126.
%Y A143607 Sequence in context: A134591 A058611 A098613 this_sequence A032715 A002887 
               A080034
%Y A143607 Adjacent sequences: A143604 A143605 A143606 this_sequence A143608 A143609 
               A143610
%K A143607 nonn
%O A143607 1,2
%A A143607 Clark Kimberling (ck6(AT)evansville.edu), Aug 27 2008