-10752

Appears in sequences

• sech(cos(x)*log(x+1))=1-1/2!*x^2+3/3!*x^3+6/4!*x^4-60/5!*x^5...at n=8A012473
• a(n) = -2*a(n-1) + 4*a(n-2), a(0) = 1, a(1) = 0.at n=9A086344
• Hankel transform of sequence (b(n)) where b(n) = Sum_{i=0..n} binomial(2*i,i).at n=10A098106
• 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=41A138024
• Coefficients of powers of two Hadamard characteristic polynomials: M(n)=Hadamard[2^n] except for 12.at n=43A158234
• Coefficient triangle of the Hermite-Bell polynomials for power -2.at n=30A215216
• Irregular triangle read by rows: mean version of Girard-Waring formula (cf. A210258), for m = 4 data values.at n=27A288199
• Table read by rows. T(n, k) = [z^k] LommelR(n, n, 1/z) where LommelR are the Lommel polynomials.at n=18A369117
• Triangle read by rows: T(n, k, m) = binomial(n, k) * k^n * m^k * (-1)^(n - k) for m = 2.at n=30A385899