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 = 4, read by rows.

A172429

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 = 4, read by rows.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =-15a(5) =1a(6) =1a(7) =6a(8) =6a(9) =1a(10) =1a(11) =-255a(12) =102a(13) =-255a(14) =1a(15) =1a(16) =120a(17) =2040a(18) =2040a(19) =120a(20) =1a(21) =1a(22) =-4095a(23) =32760a(24) =-1392300a(25) =32760a(26) =-4095a(27) =1a(28) =1a(29) =5040

External references