Second beta integer combination triangle of a Narayana type: a=3: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)).
A172378
Second beta integer combination triangle of a Narayana type: a=3: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) =10a(5) =1a(6) =1a(7) =110a(8) =110a(9) =1a(10) =1a(11) =1199a(12) =13189a(13) =1199a(14) =1a(15) =1a(16) =13080a(17) =1568292a(18) =1568292a(19) =13080a(20) =1a(21) =1a(22) =142680a(23) =186625440a(24) =2034217296a(25) =186625440a(26) =142680a(27) =1a(28) =1a(29) =1556401
External references
- oeis: A172378