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+12*x+x^2)/(1-x)^4, read by rows.
A166343
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+12*x+x^2)/(1-x)^4, read by rows.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =12a(5) =1a(6) =1a(7) =27a(8) =27a(9) =1a(10) =1a(11) =58a(12) =162a(13) =58a(14) =1a(15) =1a(16) =121a(17) =718a(18) =718a(19) =121a(20) =1a(21) =1a(22) =248a(23) =2759a(24) =5744a(25) =2759a(26) =248a(27) =1a(28) =1a(29) =503
External references
- oeis: A166343