Triangle T(n, k, q) = c(n,q)/( c(k,q)*c(n-k,q) ), where c(n, q) = Product_{j=1..n} f(n, q), f(n, q) = ( (1-q^n)*(1+(-1)^n) + n!*(1-(-1)^n) )/2, and q = 3, read by rows.
A172428
Triangle T(n, k, q) = c(n,q)/( c(k,q)*c(n-k,q) ), where c(n, q) = Product_{j=1..n} f(n, q), f(n, q) = ( (1-q^n)*(1+(-1)^n) + n!*(1-(-1)^n) )/2, and q = 3, read by rows.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =-8a(5) =1a(6) =1a(7) =6a(8) =6a(9) =1a(10) =1a(11) =-80a(12) =60a(13) =-80a(14) =1a(15) =1a(16) =120a(17) =1200a(18) =1200a(19) =120a(20) =1a(21) =1a(22) =-728a(23) =10920a(24) =-145600a(25) =10920a(26) =-728a(27) =1a(28) =1a(29) =5040
External references
- oeis: A172428