a(n) = Sum_{k = floor((n+1)/2)..n} (-1)^(n+k)*binomial(n,k)*binomial(n+k-1,k)*binomial(2*k,n).
A363983
a(n) = Sum_{k = floor((n+1)/2)..n} (-1)^(n+k)*binomial(n,k)*binomial(n+k-1,k)*binomial(2*k,n).
Terms
- a(0) =1a(1) =2a(2) =14a(3) =128a(4) =1310a(5) =14252a(6) =161168a(7) =1872096a(8) =22179102a(9) =266766500a(10) =3247293764a(11) =39914850560a(12) =494587904720
External references
- oeis: A363983