A product triangle sequence based on:a=3;f(n, a) = f(n - 1, a) + a*f(n - 2, a); c(n,a)=If[n == 0, 1, Product[f(i, a)*f(i + 1, a), {i, 1, n}]]; t(n,m,a)=If[Floor[n/2] >= m, c(n, a)/c(n - m, a), c(n, a)/c(m, a)].

A174412

A product triangle sequence based on:a=3;f(n, a) = f(n - 1, a) + a*f(n - 2, a); c(n,a)=If[n == 0, 1, Product[f(i, a)*f(i + 1, a), {i, 1, n}]]; t(n,m,a)=If[Floor[n/2] >= m, c(n, a)/c(n - m, a), c(n, a)/c(m, a)].

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =1a(6) =1a(7) =28a(8) =28a(9) =1a(10) =1a(11) =133a(12) =3724a(13) =133a(14) =1a(15) =1a(16) =760a(17) =101080a(18) =101080a(19) =760a(20) =1a(21) =1a(22) =3880a(23) =2948800a(24) =392190400a(25) =2948800a(26) =3880a(27) =1a(28) =1a(29) =21049

External references