Second beta integer combination triangle of a Narayana type: a=2:f(n, a) = a*f(n - 1, a) + f(n - 2, a);c(n,a)=If[n == 0, 1, Product[f(i, a), {i, 1, n}]];w(n,m,q)=c(n - 1, q)*c(n, q)/(c(m - 1, q)*c(n - m, q)*c(m - 1, q)*c(n - m + 1, q)*f(m, q)).
A172377
Second beta integer combination triangle of a Narayana type: a=2:f(n, a) = a*f(n - 1, a) + f(n - 2, a);c(n,a)=If[n == 0, 1, Product[f(i, a), {i, 1, n}]];w(n,m,q)=c(n - 1, q)*c(n, q)/(c(m - 1, q)*c(n - m, q)*c(m - 1, q)*c(n - m + 1, q)*f(m, q)).
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =5a(5) =1a(6) =1a(7) =30a(8) =30a(9) =1a(10) =1a(11) =174a(12) =1044a(13) =174a(14) =1a(15) =1a(16) =1015a(17) =35322a(18) =35322a(19) =1015a(20) =1a(21) =1a(22) =5915a(23) =1200745a(24) =6964321a(25) =1200745a(26) =5915a(27) =1a(28) =1a(29) =34476
External references
- oeis: A172377