Define K(n) = Integral_{t=-1..1} t^(2n)*(1-t^2)^(2n)/(1+it)^(3n+1)dt and write K(n) = d(n)*Pi - a(n)/c(n) where a(n), d(n), c(n) are positive integers; sequence gives a(n).

A305997

Define K(n) = Integral_{t=-1..1} t^(2n)*(1-t^2)^(2n)/(1+it)^(3n+1)dt and write K(n) = d(n)*Pi - a(n)/c(n) where a(n), d(n), c(n) are positive integers; sequence gives a(n).

Terms

    a(0) =44a(1) =45616a(2) =1669568a(3) =9778855936

External references