A symmetrical binomial product triangle sequence:q=4; t(n,m,q)=If[n == 0 || n == 1, 1, Product[Binomial[n + i, m + i], {i, -Floor[q/2], Floor[q/2]}] + Product[Binomial[n + i, n - m + i], {i, -Floor[q/2], Floor[q/2]}]].

A174149

A symmetrical binomial product triangle sequence:q=4; t(n,m,q)=If[n == 0 || n == 1, 1, Product[Binomial[n + i, m + i], {i, -Floor[q/2], Floor[q/2]}] + Product[Binomial[n + i, n - m + i], {i, -Floor[q/2], Floor[q/2]}]].

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =0a(5) =1a(6) =1a(7) =120a(8) =120a(9) =1a(10) =1a(11) =720a(12) =5400a(13) =720a(14) =1a(15) =1a(16) =2520a(17) =84700a(18) =84700a(19) =2520a(20) =1a(21) =1a(22) =6720a(23) =712950a(24) =3136000a(25) =712950a(26) =6720a(27) =1a(28) =1a(29) =15120

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