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Bernoulli numerators A000367 with an additional 1 inserted to represent B_1.
1

%I #5 Mar 30 2012 18:52:05

%S 1,1,1,-1,1,-1,5,-691,7,-3617,43867,-174611,854513,-236364091,8553103,

%T -23749461029,8615841276005,-7709321041217,2577687858367,

%U -26315271553053477373,2929993913841559,-261082718496449122051

%N Bernoulli numerators A000367 with an additional 1 inserted to represent B_1.

%C Equivalent to adding a 1 in front of A000367, or removing zeros in A164555.

%C (One could also remove zeros in A027641 which would flip the sign of a(1)).

%C The denominators are in A006954.

%e B_0=1/1, B_1=1/2 "originally", B_2=1/6, B_4=-1/30, B_6=1/42,...

%Y Cf. A165908, A174276.

%K less,sign,frac

%O 0,7

%A _Paul Curtz_, Apr 20 2010