G.f.: C(x,y)^2 - S(x,y)^2 = Sum_{n>=0} x^(2*n)*y/[Sum_{k=0..2*n+1} T(n,k)*y^k], where C(x,y) = Sum_{n>=0} x^(2*n) / Product_{k=1..2*n} (k + y) and S(x,y) = Sum_{n>=0} x^(2*n+1) / Product_{k=1..2*n+1} (k + y).
A268647
G.f.: C(x,y)^2 - S(x,y)^2 = Sum_{n>=0} x^(2*n)*y/[Sum_{k=0..2*n+1} T(n,k)*y^k], where C(x,y) = Sum_{n>=0} x^(2*n) / Product_{k=1..2*n} (k + y) and S(x,y) = Sum_{n>=0} x^(2*n+1) / Product_{k=1..2*n+1} (k + y).
Terms
- a(0) =0a(1) =1a(2) =2a(3) =5a(4) =4a(5) =1a(6) =48a(7) =124a(8) =120a(9) =55a(10) =12a(11) =1a(12) =2160a(13) =6012a(14) =6636a(15) =3829a(16) =1260a(17) =238a(18) =24a(19) =1a(20) =161280a(21) =478656a(22) =582080a(23) =387260a(24) =157080a(25) =40593a(26) =6720a(27) =690a(28) =40a(29) =1
External references
- oeis: A268647