-362880

Appears in sequences

• Triangle read by rows of Stirling numbers of first kind, s(n,k), n >= 1, 1 <= k <= n.at n=45A008275
• Triangle of Lehmer-Comtet numbers of the first kind.at n=55A008296
• Triangle of Lah numbers.at n=36A008297
• Stirling numbers of first kind S1(10,n).at n=0A011520
• Triangle formed from expansion of (x-1)*(x+2)*(x-3)*...*(x+-n).at n=54A047991
• Triangle of Stirling numbers of first kind, s(n,k), n >= 0, 0 <= k <= n.at n=56A048994
• Signed variant of A077012.at n=45A078921
• T(n, k) = Stirling1(n+1, k) - Stirling1(n, k-1), for 1 <= k <= n. Triangle read by rows.at n=36A094485
• Minimal permanent of real n X n symmetric (+1,-1) matrices.at n=8A119001
• 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=24A133437
• a(n) = (-1)^n * n!.at n=9A133942
• Triangle T(n,0)=0 and T(n,k) = -A028421(n-1,k-1), 0<k<=n.at n=56A136426
• Triangle: p(x) = (1 - t/c)*(1 - t)^(-x - b); c = 1/2; b = 1.at n=45A137376
• 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=74A137525
• A triangular sequence of coefficients of an expansion of a Mach wave as a traveling wave in a medium: (vt')^2 = vp*vg = c^2 - (gamma-1)/(gamma+1)*vt^2; Substituting: vt -> exp(t*x); gamma->t; c->1; p(x,t) = 1 - exp(2*x*t)*(t - 1)/(1 + t).at n=45A138024
• A generalized PolyLog triangular sequence of coefficients: k = (n + 1); b0 = 1; p(x,n,k)=(k - 1)!*(1 - x)^n*PolyLog[ -n, k, x]/(x*Log[1 - x]); t(n,m)=Coefficients(p(b0,n,k)).at n=44A142336
• Floor of value of n-th derivative of Zeta(x) at x=2.at n=8A153577
• S(n,k) an additive decomposition of the Springer number (generalized Euler number), (triangle read by rows).at n=34A154343
• Triangle, read by rows, T(n, k) = (-1)^n * n!/(k*k!) * binomial(n-1, k-1) * binomial(n, k-1).at n=36A176013
• Triangular array read by rows: [T(n,k),k=1..tau(n)] = [-n!/(d*(-(n/d)!)^d), d|n].at n=26A182928