Let f(x) = (Pi - 2*arctan(1/(sqrt(x)*sqrt(x+2))))/(2*sqrt(x)*sqrt(x+2)), take (-1)^n*(n-th derivative from right at x=0) and multiply by A001147(n+1).

A034405

Let f(x) = (Pi - 2*arctan(1/(sqrt(x)*sqrt(x+2))))/(2*sqrt(x)*sqrt(x+2)), take (-1)^n*(n-th derivative from right at x=0) and multiply by A001147(n+1).

Terms

    a(0) =1a(1) =2a(2) =14a(3) =216a(4) =5976a(5) =262800a(6) =16945200a(7) =1511395200a(8) =178458940800

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