Triangle T(n, k) = coefficients of ( t(n, x) ) where t(n, x) = (1-x)^(n+1)*p(n, x)/x, p(n, x) = x*D( p(n-1, x) ), with p(1, x) = x/(1-x)^2, p(2, x) = x*(1+x)/(1-x)^3, and p(3, x) = x*(1+2*x+x^2)/(1-x)^4, read by rows.
A166345
Triangle T(n, k) = coefficients of ( t(n, x) ) where t(n, x) = (1-x)^(n+1)*p(n, x)/x, p(n, x) = x*D( p(n-1, x) ), with p(1, x) = x/(1-x)^2, p(2, x) = x*(1+x)/(1-x)^3, and p(3, x) = x*(1+2*x+x^2)/(1-x)^4, read by rows.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =1a(7) =7a(8) =7a(9) =1a(10) =1a(11) =18a(12) =42a(13) =18a(14) =1a(15) =1a(16) =41a(17) =198a(18) =198a(19) =41a(20) =1a(21) =1a(22) =88a(23) =799a(24) =1584a(25) =799a(26) =88a(27) =1a(28) =1a(29) =183
External references
- oeis: A166345