Define K(n) = Integral_{t=0..1} (-1/2)^n/(1+t)*((1-t)^2*t^2/(1+t))^n*dt and write K(n) = d(n)*log(2) - b(n)/a(n) where a(n), d(n), b(n) are positive integers; sequence gives a(n).
A316912
Define K(n) = Integral_{t=0..1} (-1/2)^n/(1+t)*((1-t)^2*t^2/(1+t))^n*dt and write K(n) = d(n)*log(2) - b(n)/a(n) where a(n), d(n), b(n) are positive integers; sequence gives a(n).
Terms
- a(0) =1a(1) =6a(2) =40a(3) =288a(4) =10560a(5) =24024a(6) =792064a(7) =34728960a(8) =3627008a(9) =302356454400a(10) =307660953600a(11) =98050867200
External references
- oeis: A316912