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

A123178

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

Terms

    a(0) =14a(1) =968a(2) =75920a(3) =6288296a(4) =537005664a(5) =46764723632

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