5080320

Appears in sequences

• a(n) = n!*n*(n-1)*(n-2)/36.at n=9A001810
• Number of identity bracelets with n labeled beads of 2 colors.at n=8A032337
• Number of labeled planar binary trees with 2n-1 elements (external nodes or internal nodes).at n=4A052510
• Triangle of number of labeled rooted trees with n nodes and k leaves, n >= 1, 1 <= k <= n.at n=37A055302
• Number of labeled rooted trees with n nodes and 2 leaves.at n=6A055303
• Triangle of labeled mobiles (circular rooted trees) with n nodes and k leaves.at n=37A055349
• a(0) = 1; for n > 0, a(n) = (n!*(3*n+1))/2.at n=9A066114
• Coefficients of the polynomials in the numerator of 1/(1+x^2) and its successive derivatives, starting with the constant term.at n=40A076256
• 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=40A076257
• Nonzero coefficients of the polynomials in the numerator of 1/(1+x^2) and its successive derivatives, starting with the constant term.at n=22A076741
• 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=22A076743
• Triangle whose n-th row contains the n smallest numbers that are products of n distinct integers > 1, read by rows.at n=43A081957
• Array of coefficients of denominator polynomials of the n-th approximation of the continued fraction x/(1+x/(2+x/(3+..., related to Laguerre polynomial coefficients.at n=45A084950
• a(1) = 1. For n>1, the smallest number greater than n! with the prime signature of n!.at n=9A088300
• Triangle read by rows: T(n,k) = (-1)^k * n! * 2^(n-2*k) * binomial(n,k) * binomial(2*k,k) (0<=k<=n).at n=30A123516
• a(n) = denominator of b(n), where sum{m>=0} b(m)*x^m/m! = x/(sum{m>=1} H(m) x^m/ m!) = exp(-x)*x/(sum{m>=1} x^m (-1)^(m+1)/(m!*m)). (H(m) = sum{k=1 to m} 1/k.).at n=6A128062
• A coefficient tree from the list partition transform relating A000129, A000142, A000165, A110327, and A110330.at n=22A131980
• Denominators of Blandin-Diaz compositional Bernoulli numbers (B^Z)_1,n.at n=6A132097
• Triangular sequence of coefficients from the Laplace transform of a Bernoulli expansion function: LaplaceTransform[t*Exp[x*t]/(Exp[t] - 1), t, 1/t] =Zeta[2,1+1/t-x] -> shifted to Zeta[3,1+1/t-x].at n=35A137497
• A triangular sequence of coefficients from a Laplace Transform of a Bernoulli expansion function: LaplaceTransform[t*Exp[x*t]/(Exp[t] - 1), t, 1/t] = Zeta[2,1+1/t-x]->shifted to Zeta[5,1+1/t-x].at n=24A137498