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%I A244237 #21 Jul 14 2014 08:01:29
%S A244237 -1,3,-11,2,-61,2,-83,2,-61,2,-127,2,-6151,2,-5,2,-4637,2,42271,2,
%T A244237 -175241,2,854237,2,-236369551,2,8553091,2,-23749462769,2,
%U A244237 8615841247361,2,-7709321042237,2,2577687858355,2,-26315271553057315753,2
%N A244237 Numerators of the inverse binomial transform of (-1 followed by A164555(n+1)/A027642(n+1)).
%C A244237 See A244213. (The binomial transform of A198631(n)/A006519(n+1) is A143074(n)/A006519(n+1)).
%C A244237 Difference table of -1 followed by A164555(n+1)/A027642(n+1), see A190339:
%C A244237 -1,       1/2,    1/6,      0,  -1/30,     0,  1/42, 0,...
%C A244237 3/2,     -1/3,   -1/6,  -1/30,   1/30,  1/42, -1/42,...
%C A244237 -11/6,    1/6,   2/15,   1/15, -1/105, -1/21,...
%C A244237 2,      -1/30,  -1/15, -8/105, -4/105,...
%C A244237 -61/30, -1/30, -1/105,  4/105,...
%C A244237 2,       1/42,   1/21,..
%C A244237 -83/42,  1/42,...
%C A244237 2,...
%C A244237 etc.
%C A244237 The corresponding denominators to a(n) are A027642(n). See A085738.
%C A244237 From the second Bernoulli numbers.
%F A244237 (A164555(n+2) - a(n+2))/A027642(n+2)) = (-1)^n*2.
%Y A244237 Cf. A190339, A235774, A244213, A085738, A164555, A027642, A143074, A006519.
%K A244237 sign,frac
%O A244237 0,2
%A A244237 _Paul Curtz_, Jun 23 2014
%E A244237 a(12)-a(37) from Jean-François Alcover

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