-725760

Appears in sequences

• Expansion of log(1+tanh(log(1+x))).at n=10A009383
• 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=47A138024
• Triangle T(n,m) = coefficient of x^n in expansion of x^m*(x+1)^(m*x) = sum(n>=m, T(n,m) x^n*m!/n!).at n=37A202183
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. Product_{i>0} 1/(Sum_{j=0..k} x^(j*i)/j!).at n=64A293299
• E.g.f.: Product_{m>0} 1/(1 + x^m).at n=9A293300
• Triangle read by rows: T(n, k) = (-1)^k*(k+1)*(n+1-k)!, n >= 0, k = 0..n.at n=46A384494
• Triangle read by rows: T(n,k) = Sum_{j=0..k} (-1)^j * binomial(k,j) * (2-j)^n.at n=53A391068