-10080

Appears in sequences

• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^9 in powers of x.at n=33A001487
• arctan(arctan(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5-32/6!*x^6...at n=8A012399
• E.g.f. tanh(arctan(x)*log(x+1)).at n=6A012403
• Coefficient triangle of generalized Laguerre polynomials n!*L(n,3,x) (rising powers of x).at n=24A062137
• Signed variant of A077012.at n=32A078921
• Triangle T read by rows: coefficients of polynomials generating array A099597.at n=26A099599
• E.g.f.: x/(1+x-x^3).at n=7A109581
• A scaled Hermite triangle.at n=48A112227
• Inverse of triangle related to Padé approximation of exp(x).at n=41A119275
• Matrix inverse of triangle A122178, where A122178(n,k) = C( n*(n+1)/2 + n-k - 1, n-k) for n>=k>=0.at n=39A121438
• Coefficients of generalized factorial polynomials p(x, n) = (x/a - (n-1))*p(x, n-1) with p(x, 0) = 1, p(x, 1) = x/a and a = 1/2. Triangle read by rows, for n >= 0 and 0 <= k <= n.at n=37A137312
• Triangular sequence from coefficients of an expansion of a Rankine-Hugoniot relation function for density in terms of thermodynamic gamma as t and pressure ratio as x: p(x,t)=((t + 1)/(t - 1) + x)/(1 + (t + 1)*x/(t - 1)).at n=28A137778
• Triangular sequence from coefficients of an expansion of a Rankine-Hugoniot relation function for density in terms of thermodynamic gamma as t and pressure ratio as x: p(x,t)=((t + 1)/(t - 1) + x)/(1 + (t + 1)*x/(t - 1)).at n=35A137778
• 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=30A138024
• The n-th differences of the row A141045(n,.).at n=5A141055
• Triangle: r=23;l=7;m(r,l,n)=(r - l)*IdentityMatrix[n] + l*Table[1, {i, 1, n}, {j, 1, n}].at n=33A157981
• Triangle read by rows: the coefficient [t^n x^k] of n!*(n+2)! *exp(x*t) *(t*(1-2*exp(t))-2*exp(t)) / (2*(1-exp(t))), in row n, k=0..n+1.at n=29A176989
• Triangle read by rows. Polynomials based on sums of Moebius transforms.at n=35A177977
• Coefficients for the commutator for the logarithm of the derivative operator [log(D),x^n D^n]=d[(xD)!/(xD-n)!]/d(xD) expanded in the operators :xD:^k.at n=39A238363
• Shifted lower triangular matrix A238363 with a main diagonal of ones.at n=48A238385