A triangle sequence of polynomial coefficients: p(x,n)=(-1)^(n + 1)*(x - 1)^(3*n + 1)*Sum[(Binomial[m, n]* Binomial[m + 1, n + 1]/(m - n + 1))*(m + 1)^ n*x^m, {m, 0, Infinity}]/(x^n); t(n,m)=coefficients(p(x,n)).

A155756

A triangle sequence of polynomial coefficients: p(x,n)=(-1)^(n + 1)*(x - 1)^(3*n + 1)*Sum[(Binomial[m, n]* Binomial[m + 1, n + 1]/(m - n + 1))*(m + 1)^ n*x^m, {m, 0, Infinity}]/(x^n); t(n,m)=coefficients(p(x,n)).

Terms

    a(0) =1a(1) =2a(2) =1a(3) =9a(4) =33a(5) =17a(6) =1a(7) =64a(8) =610a(9) =1180a(10) =595a(11) =70a(12) =1a(13) =625a(14) =11315a(15) =48135a(16) =67245a(17) =33309a(18) =5463a(19) =227a(20) =1a(21) =7776a(22) =228531a(23) =1708496a(24) =4680256a(25) =5339376a(26) =2610776a(27) =522256a(28) =36996a(29) =656

External references