-40320

Appears in sequences

• Generalized Stirling number triangle of first kind.at n=28A049444
• Triangle formed by coefficients of numerator polynomials defined by iterating f(u,v) = 1/u - x*v applied to a list of elements {1,2,3,4,...}.at n=44A053495
• Exponential reciprocal of A055924.at n=36A055925
• Coefficient triangle of generalized Laguerre polynomials n!*L(n,2,x) (rising powers of x).at n=22A062139
• Coefficients of the polynomials in the numerator of 1/(1+x^2) and its successive derivatives, starting with the constant term.at n=35A076256
• 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=28A076257
• Nonzero coefficients of the polynomials in the numerator of 1/(1+x^2) and its successive derivatives, starting with the constant term.at n=19A076741
• 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=16A076743
• Generalized Stirling2 array (-1,2)S2. Irregular triangle a(n, m) for n >= 1 and 2 <= m <= 2*n.at n=19A091752
• Triangle of generalized Stirling numbers of the first kind.at n=56A094645
• Infinite square array read by antidiagonals: T(m, 0) = 1, T(m, 1) = m; T(m, k) = (m - k + 1) T(m+1, k-1) - (k-1) (m+1) T(m+2, k-2).at n=52A105937
• Expansion of e.g.f.: -1/(1+x-x^3).at n=8A109582
• The matrix inverse of the unsigned Lah numbers A271703.at n=37A111596
• Triangle read by rows: T(n,k) is the coefficient of x^k of the polynomial n(n-x)(n-2x)(n-3x)...(n-(n-1)x) (n>=1, 0<=k<=n-1).at n=35A123670
• 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(2,n).at n=7A127067
• Inverse of number triangle A(n,k) = 1/n! if k <= n <= 2k, 0 otherwise.at n=53A127755
• 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=44A133437
• Triangle read by rows: row n gives coefficients C(n,j) for a Sheffer sequence (binomial-type) with raising operator -x { 1 + W[ -exp(-2) * (2+D) ] } where W is the Lambert W multi-valued function.at n=45A135338
• Triangle T(n,0)=0 and T(n,k) = -A028421(n-1,k-1), 0<k<=n.at n=46A136426
• Coefficients for rewriting generalized falling factorials into ordinary falling factorials.at n=29A136656