A symmetrical triangle of polynomial coefficients:p(x,n)=If[n == 0, 1, (1 - x)^(n + 1)*Sum[((2*k + 1)^n + (k + 1)^n + k^n)*x^k, {k, 0, Infinity}]/2].

A177984

A symmetrical triangle of polynomial coefficients:p(x,n)=If[n == 0, 1, (1 - x)^(n + 1)*Sum[((2*k + 1)^n + (k + 1)^n + k^n)*x^k, {k, 0, Infinity}]/2].

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =1a(6) =1a(7) =14a(8) =14a(9) =1a(10) =1a(11) =44a(12) =126a(13) =44a(14) =1a(15) =1a(16) =132a(17) =887a(18) =887a(19) =132a(20) =1a(21) =1a(22) =390a(23) =5451a(24) =12076a(25) =5451a(26) =390a(27) =1a(28) =1a(29) =1150

External references