%I A126579
%S A126579 0,1,1,1,3,17,625,830449,1441502031601,4448641235388669217551601,
%T A126579 41528676925856911327331422342109607917578376233201,
%U A126579 3672388606376400029616401054202436402044127055973259683865721559797182998857705011207512381679196401
%N A126579 a(n) = numerator of r_n, where r_0 =0, r_1 =1, r_{n+1} = the continued 
               fraction (of rational terms) [r_0,r_1,r_2,r_3,...,r_n].
%H A126579 Leroy Quet, <a href="http://www.prism-of-spirals.net/">Home Page</a> 
               (listed in lieu of email address)
%e A126579 a(5) is the numerator of r_5 = r_0 +1/(r_1 +1/(r_2 +1/(r_3
%e A126579 + 1/r_4))) =
%e A126579 0 + 1/(1 +1/(1 +1/(1/2 +1/(3/4)))) = 17/28.
%t A126579 f[l_List] := Append[l, FromContinuedFraction[l]];Numerator@Nest[f, {0, 
               1}, 10] (*Chandler*)
%Y A126579 Cf. A064845, A064846, A126580.
%Y A126579 Sequence in context: A001601 A061119 A049985 this_sequence A051710 A162713 
               A161473
%Y A126579 Adjacent sequences: A126576 A126577 A126578 this_sequence A126580 A126581 
               A126582
%K A126579 easy,frac,nonn
%O A126579 0,5
%A A126579 Leroy Quet Dec 28 2006
%E A126579 Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Dec 29 2006