-35840

Appears in sequences

• Expansion of Product_{k>=1} (1 - x^k)^15.at n=27A010822
• a(1) = 2, a(2) = -32; a(n) = -16*a(n - 1) + 12*add(binomial(2*n - 2, 2*i)*a(i)*a(n - 1 - i), i = 1 .. n - 2).at n=3A069182
• Derived Shabat linear tree transform of A053120: Triangle of coefficients of transformed Chebyshev's T(n, x) polynomials (powers of x in increasing order) T(x,n)->c*T(c*x+d)+d: c=-1;d=1; as substitution: 1-x->y( here alternative starting polynomial of Q(y,1]=1-y.at n=62A136203
• G.f.: Product_{n>=1} (1 + a(n)*x^n/n!) = exp(x).at n=8A137852
• Triangle read by rows: T(n,k) = (-1)^(n-k) * r16(n-k) * 2^(3*b(k)) * sigma_3(O(k)), for k=1 to n, for n>=1 (see comments for terms used).at n=11A193354
• Irregular triangle read by rows: T(n,m) = coefficients in a power/Fourier series expansion of an arbitrary anharmonic oscillator's exact phase space trajectory.at n=41A276738
• Irregular triangle read by rows T(n,m), coefficients in power/Fourier series expansion of an arbitrary anharmonic oscillator's exact differential time dependence.at n=50A276815
• T(n, k) = 2^n * n! * [x^k] [z^n] (exp(z) + 1)^2/(4*exp(x*z)), triangle read by rows, for 0 <= k <= n.at n=41A326479
• Product_{n>=1} (1 + a(n)*x^n/n!) = 1 + tanh(x).at n=8A353779
• Product_{n>=1} 1 / (1 - a(n)*x^n/n!) = 1 + tanh(x).at n=8A353912