Let k=2; then T(n,m) = (((2*k+1)/(m+k+1))*binomial(n-1-k, m-k)*binomial(n+k, m+k) + ((2*k+1)/(n-m+k))*binomial(n-1-k, n-m-1-k)*binomial(n+k, n-m-1+k)), irregular triangle.

A156716

Let k=2; then T(n,m) = (((2*k+1)/(m+k+1))*binomial(n-1-k, m-k)*binomial(n+k, m+k) + ((2*k+1)/(n-m+k))*binomial(n-1-k, n-m-1-k)*binomial(n+k, n-m-1+k)), irregular triangle.

Terms

    a(0) =5a(1) =0a(2) =5a(3) =5a(4) =15a(5) =15a(6) =5a(7) =5a(8) =35a(9) =70a(10) =35a(11) =5a(12) =5a(13) =60a(14) =210a(15) =210a(16) =60a(17) =5a(18) =5a(19) =90a(20) =486a(21) =840a(22) =486a(23) =90a(24) =5a(25) =5a(26) =125a(27) =960a(28) =2550a(29) =2550

External references