Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(n,k) is the constant term in the expansion of ( (Sum_{j=0..n} x^(2*j+1)+1/x^(2*j+1)) * (Sum_{j=0..n} y^(2*j+1)+1/y^(2*j+1)) - (Sum_{j=0..n-1} x^(2*j+1)+1/x^(2*j+1)) * (Sum_{j=0..n-1} y^(2*j+1)+1/y^(2*j+1)) )^(2*k).
A329066
Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(n,k) is the constant term in the expansion of ( (Sum_{j=0..n} x^(2*j+1)+1/x^(2*j+1)) * (Sum_{j=0..n} y^(2*j+1)+1/y^(2*j+1)) - (Sum_{j=0..n-1} x^(2*j+1)+1/x^(2*j+1)) * (Sum_{j=0..n-1} y^(2*j+1)+1/y^(2*j+1)) )^(2*k).
Terms
- a(0) =1a(1) =4a(2) =1a(3) =36a(4) =12a(5) =1a(6) =400a(7) =588a(8) =20a(9) =1a(10) =4900a(11) =49440a(12) =2100a(13) =28a(14) =1a(15) =63504a(16) =5187980a(17) =423440a(18) =4956a(19) =36a(20) =1a(21) =853776a(22) =597027312a(23) =117234740a(24) =1751680a(25) =9540a(26) =44a(27) =1a(28) =11778624a(29) =71962945824
External references
- oeis: A329066