%I #21 Jul 14 2014 08:01:29
%S -1,3,-11,2,-61,2,-83,2,-61,2,-127,2,-6151,2,-5,2,-4637,2,42271,2,
%T -175241,2,854237,2,-236369551,2,8553091,2,-23749462769,2,
%U 8615841247361,2,-7709321042237,2,2577687858355,2,-26315271553057315753,2
%N Numerators of the inverse binomial transform of (-1 followed by A164555(n+1)/A027642(n+1)).
%C See A244213. (The binomial transform of A198631(n)/A006519(n+1) is A143074(n)/A006519(n+1)).
%C Difference table of -1 followed by A164555(n+1)/A027642(n+1), see A190339:
%C -1, 1/2, 1/6, 0, -1/30, 0, 1/42, 0,...
%C 3/2, -1/3, -1/6, -1/30, 1/30, 1/42, -1/42,...
%C -11/6, 1/6, 2/15, 1/15, -1/105, -1/21,...
%C 2, -1/30, -1/15, -8/105, -4/105,...
%C -61/30, -1/30, -1/105, 4/105,...
%C 2, 1/42, 1/21,..
%C -83/42, 1/42,...
%C 2,...
%C etc.
%C The corresponding denominators to a(n) are A027642(n). See A085738.
%C From the second Bernoulli numbers.
%F (A164555(n+2) - a(n+2))/A027642(n+2)) = (-1)^n*2.
%Y Cf. A190339, A235774, A244213, A085738, A164555, A027642, A143074, A006519.
%K sign,frac
%O 0,2
%A _Paul Curtz_, Jun 23 2014
%E a(12)-a(37) from Jean-François Alcover