-3900

Appears in sequences

• Riordan array (1/(1+x), x*(1-2*x)/(1+x)^2).at n=62A110522
• A triangular sequence of three back recursive polynomial that are Hermite H(x,n) like and alternating orthogonal on domain {-Infinity,Infinity} and weight function Exp[ -x^2/2]: P(x, n) = 2*x*P(x, n - 1) - n*P(x, n - 2) + 4*x^3*P(x, n - 3).at n=38A138090
• Coefficients of partition Hermite-MacMahon polynomials: p(x,n)= If[n == 0, 1, HermiteH[n, x]*Sum[MacMahon[n-1, k-1]*x^(k - 1), {k, 1, n}]/2^Floor[n/2]].at n=34A171533
• Triangle read by rows: T(n,k) = n!*S(n,k), where S(n,k) is the matrix inverse of the triangle zeta(k-n,1) - zeta(k-n,k+1), n>=1, k>=1.at n=21A214435
• Triangular array T(n, k) read by rows: polynomials for the series expansion of the iterated function F^{t}(x) = Sum_{n>=0} (1/x)^(2*n-1)*P_n(t)/n! with F^{1}(x) = (x + sqrt(x^2 + 4))/2 and F^{2}(x) = F^{1}(F^{1}(x)). Row n of the triangle give the coefficients of the polynomial P_n(t).at n=23A390822