Let K(n) = integral(t=-1,1, t^(2n)*(1-t^2)^(2n)/(1+it)^(3n+1) dt) and write K(n) = d(n)*Pi - b(n)/a(n) where a(n), b(n), d(n) are positive integers; sequence gives a(n).

A305998

Let K(n) = integral(t=-1,1, t^(2n)*(1-t^2)^(2n)/(1+it)^(3n+1) dt) and write K(n) = d(n)*Pi - b(n)/a(n) where a(n), b(n), d(n) are positive integers; sequence gives a(n).

Terms

    a(0) =1a(1) =15a(2) =7a(3) =495a(4) =2145a(5) =69615a(6) =33915a(7) =245157a(8) =2523675a(9) =150225075a(10) =60480225a(11) =187751655a(12) =26397882693a(13) =7073942421a(14) =221214302595

External references