A symmetrical triangle of leading ones adjusted polynomial coefficients based on Hermite orthogonal polynomials: t(n,m)=CoefficientList[HermiteH[n, x], x][[m + 1]] + Reverse[CoefficientList[ HermiteH[n, x], x]][[m + 1]] - (CoefficientList[HermiteH[n, x], x][[1]] + Reverse[CoefficientList[HermiteH[n, x], x]][[1]]) + 1.

A176411

A symmetrical triangle of leading ones adjusted polynomial coefficients based on Hermite orthogonal polynomials: t(n,m)=CoefficientList[HermiteH[n, x], x][[m + 1]] + Reverse[CoefficientList[ HermiteH[n, x], x]][[m + 1]] - (CoefficientList[HermiteH[n, x], x][[1]] + Reverse[CoefficientList[HermiteH[n, x], x]][[1]]) + 1.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =-1a(5) =1a(6) =1a(7) =-19a(8) =-19a(9) =1a(10) =1a(11) =-27a(12) =-123a(13) =-27a(14) =1a(15) =1a(16) =89a(17) =-191a(18) =-191a(19) =89a(20) =1a(21) =1a(22) =57a(23) =297a(24) =57a(25) =297a(26) =57a(27) =1a(28) =1a(29) =-1807

External references