A symmetrical triangle of polynomial coefficients based on the Hermite polynomials with leading coefficient adjusted to one: p(x,n)=HermiteH[n,x]-HermiteH[0,x]+x^n*(HermiteH[n,1/x]-HermiteH[0,1/x]).

A176064

A symmetrical triangle of polynomial coefficients based on the Hermite polynomials with leading coefficient adjusted to one: p(x,n)=HermiteH[n,x]-HermiteH[0,x]+x^n*(HermiteH[n,1/x]-HermiteH[0,1/x]).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =0a(5) =1a(6) =1a(7) =-18a(8) =-18a(9) =1a(10) =1a(11) =-26a(12) =-122a(13) =-26a(14) =1a(15) =1a(16) =90a(17) =-190a(18) =-190a(19) =90a(20) =1a(21) =1a(22) =58a(23) =298a(24) =58a(25) =298a(26) =58a(27) =1a(28) =1a(29) =-1806

External references