cp's OEIS Frontend

A300220 Decimal expansion of the sum of the reciprocal of the Bernoulli numbers with even index (negated).

%I A300220 #13 Mar 13 2018 04:25:35
%S A300220 1,0,1,8,2,0,1,8,7,2,3,6,0,1,7,4,9,2,4,1,1,6,8,8,0,4,1,4,5,6,8,1,5,9,
%T A300220 0,9,1,0,7,1,8,2,6,7,1,2,1,2,1,2,2,5,0,8,4,1,1,0,2,6,2,6,2,8,7,2,7,0,
%U A300220 3,0,9,4,4,4,0,8,6,7,9,9,0,0,3,2,5,3,5,0
%N A300220 Decimal expansion of the sum of the reciprocal of the Bernoulli numbers with even index (negated).
%C A300220 If also the reciprocal of B_{1}=-1/2 is added we have -3 instead of -1 as integer part of the constant.
%F A300220 Equals Sum_{k>=0} A002445(k)/A000367(k).
%e A300220 -1.01820187236017492411688041456815909107182671212122508411026262872703094440...
%p A300220 evalf(add(1/bernoulli(2*k),k=0..1000),500);
%o A300220 (PARI) suminf(k=0, 1/bernfrac(2*k)) \\ _Michel Marcus_, Mar 06 2018
%Y A300220 Cf. A000367, A002445.
%K A300220 nonn,easy,cons
%O A300220 1,4
%A A300220 _Paolo P. Lava_, Mar 01 2018