-6930

Appears in sequences

• Coefficients of unitary Hermite polynomials He_n(x).at n=71A066325
• Coefficients of polynomial in x multiplying cosh(x) in the modified spherical Bessel function of the first kind i_n(x).at n=34A094675
• Irregular triangle T(n,k) of nonzero coefficients of the modified Hermite polynomials (n >= 0 and 0 <= k <= floor(n/2)).at n=38A096713
• Column 1 of triangle A104505, which is equal to the right-hand side of the triangle A084610 of coefficients in (1 + x - x^2)^n.at n=14A104506
• Matrix inverse of triangle A001497 of Bessel polynomials, read by rows; essentially the same as triangle A096713 of modified Hermite polynomials.at n=62A104556
• Exponential Riordan array (1, sqrt(1+2x)-1).at n=51A122850
• Triangle T(n, k, m) = t(n, m)/(t(k, m)*t(n-k, m)), where t(n, k) = Product_{j=1..n} p(j, k+1), p(n, x) = Sum_{j=0..n} (-1)^j*A053122(n, j)*x^j, and m = 7, read by rows.at n=22A156601
• Triangle T(n, k, m) = t(n, m)/(t(k, m)*t(n-k, m)), where t(n, k) = Product_{j=1..n} p(j, k+1), p(n, x) = Sum_{j=0..n} (-1)^j*A053122(n, j)*x^j, and m = 7, read by rows.at n=26A156601
• Coefficients of expansion polynomial:p(x,t)=Exp[ -t^2* x](1 - t)^(-x)/x.at n=51A174893
• Inversion of e.g.f. formal power series. Partition array in Abramowitz-Stegun (A-St) order.at n=51A176740
• Expansion of eta(q)^9 * eta(q^5)^3 in powers of q.at n=28A227900
• Expansion of eta(q)^3 * eta(q^5)^9 in powers of q.at n=56A227901
• G.f.: Sum_{n=-oo..+oo} n * x^n * (1 - x^n)^n.at n=56A291937
• Triangle read by rows, expansion of exp(x*z)*z*((exp(z) + 1)/((exp(z) + 2*exp(-z/2)*cos(z*sqrt(3)/2))/3) -1), for n >= 1 and 0 <= k <= n-1.at n=61A294034
• Partition array giving in row n, for n >= 1, the coefficients of the Witt symmetric function w_n, multiplied by n!, in terms of the power sum symmetric functions (using partitions in the Abramowitz-Stegun order).at n=63A324253
• Coefficients of the inverse refined Eulerian partition polynomials [E]^{-1}, partitional inverse to A145271. Irregular triangle read by row with lengths A000041.at n=35A356145
• Triangle read by rows: T(n, k) = (-1)^(n + k)*2*binomial(2*k - 1, n)* binomial(2*n + 1, 2*k) for k > 0, and k^n for k = 0.at n=19A368846