Greedy frac multiples of Pi^2/6: a(1)=1, Sum_{n>=1} frac(a(n)*x) = 1 at x = Pi^2/6.

Terms

a(0) =1a(1) =2a(2) =14a(3) =45a(4) =107a(5) =138a(6) =276a(7) =414a(8) =1135a(9) =2270a(10) =6672a(11) =12209a(12) =18881a(13) =180865a(14) =361730a(15) =542595a(16) =723460a(17) =2031679a(18) =7945851a(19) =15891702a(20) =21805874a(21) =29751725a(22) =43611748a(23) =65417622a(24) =87223496a(25) =362754007a(26) =384559881a(27) =406365755