A127198 Value of the Foxtrot sum Sum[((-1)^(n + 1)*n^2)/(n^3 + 1), {n, Infinity}].

2, 3, 9, 5, 6, 0, 7, 4, 7, 3, 4, 0, 7, 4, 1, 9, 4, 9, 8, 7, 8, 1, 5, 3, 2, 5, 1, 1, 3, 8, 0, 3, 4, 1, 5, 1, 4, 8, 0, 1, 0, 8, 6, 2, 3, 9, 9, 3, 3, 6, 9, 4, 0, 8, 6, 0, 1, 1, 9, 6, 3, 5, 9, 3, 9, 6, 7, 3, 1, 4, 1, 5, 5, 3, 8, 2, 3, 1, 2, 8, 1, 6, 9, 8, 2, 6, 4, 6, 8, 4, 6, 1, 0, 6, 3, 2, 2, 7, 3, 5, 6, 6, 5, 8, 1