%I A126121
%S A126121 1,5,31,255,2577,31245,439695,7072695,127699425,2562270165,56484554175,
%T A126121 1358576240175,35374065613425,992016072172125,29792674421484975,954480422711190375,
%U A126121 32479589325536978625,1170329273010701929125,44502357662442514209375,1781390379962467540641375
%N A126121 Numerators of sequence of fractions with e.g.f. sqrt(1+x)/(1-x)^2.
%C A126121 Denominators are successive powers of 2.
%e A126121 The fractions are 1, 5/2, 31/4, 255/8, 2577/16, 31245/32, 439695/64, 
               ...
%Y A126121 Cf. A003148, A001174, A126115, A126119.
%Y A126121 Sequence in context: A024451 A046852 A056541 this_sequence A167137 A000556 
               A125598
%Y A126121 Adjacent sequences: A126118 A126119 A126120 this_sequence A126122 A126123 
               A126124
%K A126121 nonn,frac
%O A126121 0,2
%A A126121 N. J. A. Sloane (njas(AT)research.att.com), Mar 22 2007