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)+x^n*p(1/x,n)).
A155758
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)+x^n*p(1/x,n)).
Terms
- a(0) =2a(1) =3a(2) =3a(3) =10a(4) =50a(5) =50a(6) =10a(7) =65a(8) =680a(9) =1775a(10) =1775a(11) =680a(12) =65a(13) =626a(14) =11542a(15) =53598a(16) =100554a(17) =100554a(18) =53598a(19) =11542a(20) =626a(21) =7777a(22) =229187a(23) =1745492a(24) =5202512a(25) =7950152a(26) =7950152a(27) =5202512a(28) =1745492a(29) =229187
External references
- oeis: A155758