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+6*x+x^2)/(1-x)^4, read by rows.
A166344
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+6*x+x^2)/(1-x)^4, read by rows.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =6a(5) =1a(6) =1a(7) =15a(8) =15a(9) =1a(10) =1a(11) =34a(12) =90a(13) =34a(14) =1a(15) =1a(16) =73a(17) =406a(18) =406a(19) =73a(20) =1a(21) =1a(22) =152a(23) =1583a(24) =3248a(25) =1583a(26) =152a(27) =1a(28) =1a(29) =311
External references
- oeis: A166344