T(n,k) = Sum_{j=1..n} 2^j*binomial(2*n-2*j, n-j)*binomial(n+j, n)*binomial(j, k), triangle read by rows (n >= 0 and 0 <= k <= n).

A335183

T(n,k) = Sum_{j=1..n} 2^j*binomial(2*n-2*j, n-j)*binomial(n+j, n)*binomial(j, k), triangle read by rows (n >= 0 and 0 <= k <= n).

Terms

    a(0) =0a(1) =4a(2) =4a(3) =36a(4) =60a(5) =24a(6) =288a(7) =688a(8) =560a(9) =160a(10) =2240a(11) =7080a(12) =8760a(13) =5040a(14) =1120a(15) =17304a(16) =68712a(17) =114576a(18) =99456a(19) =44352a(20) =8064a(21) =133672a(22) =642824a(23) =1351840a(24) =1572480a(25) =1055040a(26) =384384a(27) =59136a(28) =1034880a(29) =5864640

External references