-3628800

Appears in sequences

• Triangle T(n,k) of arctangent numbers: expansion of arctan(x)^n/n!.at n=30A008309
• exp(arcsinh(arctan(x)))=1+x+1/2!*x^2-2/3!*x^3-11/4!*x^4+24/5!*x^5...at n=11A012251
• Triangle T(n,k) of arctangent numbers: expansion of arctan(x)^n/n!.at n=55A049218
• Generalized Stirling number triangle of first kind.at n=45A049444
• Coefficients of the polynomials in the numerator of 1/(1+x^2) and its successive derivatives, starting with the constant term.at n=46A076256
• Coefficients of the polynomials in the numerator of 1/(1+x^2) and its successive derivatives, starting with the constant term.at n=54A076256
• Coefficients of the polynomials in the numerator of 1/(1+x^2) and its successive derivatives, starting with the coefficient of the highest power of x.at n=45A076257
• Nonzero coefficients of the polynomials in the numerator of 1/(1+x^2) and its successive derivatives, starting with the constant term.at n=25A076741
• Nonzero coefficients of the polynomials in the numerator of 1/(1+x^2) and its successive derivatives, starting with the constant term.at n=29A076741
• Nonzero coefficients of the polynomials in the numerator of 1/(1+x^2) and its successive derivatives, starting with the constant term.at n=30A076741
• Nonzero coefficients of the polynomials in the numerator of 1/(1+x^2) and its successive derivatives, starting with the highest power of x.at n=25A076743
• Nonzero coefficients of the polynomials in the numerator of 1/(1+x^2) and its successive derivatives, starting with the highest power of x.at n=29A076743
• Column 0 of the matrix logarithm (A111941) of triangle A111940, which shifts columns left and up under matrix inverse; these terms are the result of multiplying the element in row n by n!.at n=14A111942
• Define an array by d(m, 0) = 1, d(m, 1) = m; d(m, k) = (m - k + 1) d(m+1, k-1) - (k-1) (m+1) d(m+2, k-2). Sequence gives d(1,n).at n=10A126962
• Coefficients of the v=1 member of a family of certain orthogonal polynomials.at n=29A130182
• Irregular triangle of coefficients of a partition transform for direct Lagrange inversion of an o.g.f., complementary to A134685 for an e.g.f.; normalized by the factorials, these are signed, refined face polynomials of the associahedra.at n=39A133437
• Coefficients for rewriting generalized falling factorials into ordinary falling factorials.at n=46A136656
• Triangle: p(x) = (1 - t/c)*(1 - t)^(-x - b); c = 1/2; b = 1.at n=55A137376
• A triangular sequence of coefficients from the inverse substitution of the spherical Bessel polynomial recursion: B(x, n) = (-2/x)*B(x, n-1) - (k^2 - (n*(n-1)/x^2))*B(x, n-2), with k=1 and substitution x->1/y.at n=54A137477
• A triangular sequence of coefficients based on an expansion of a Catenoid like Sheffer expansion function: g(t) = t; f(t) = -1/t; p(x,t) = Exp[x*(t)]*(1 - f(t)^2).at n=87A137525