A product triangle sequence based on:a=2;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)].
A174410
A product triangle sequence based on:a=2;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) =3a(5) =1a(6) =1a(7) =15a(8) =15a(9) =1a(10) =1a(11) =55a(12) =825a(13) =55a(14) =1a(15) =1a(16) =231a(17) =12705a(18) =12705a(19) =231a(20) =1a(21) =1a(22) =903a(23) =208593a(24) =11472615a(25) =208593a(26) =903a(27) =1a(28) =1a(29) =3655
External references
- oeis: A174410