-4480

Appears in sequences

• Bisection of A002470.at n=20A002287
• Glaisher's function W(n).at n=40A002470
• Expansion of (Sum_{n=-inf..inf} x^(n^2))^(-14).at n=3A004415
• Expansion of e.g.f. log(sec(x)+arctanh(x)).at n=8A013200
• Expansion of (sqrt(1-8*x)-4*x)/sqrt(1-8*x).at n=5A098580
• Triangular sequence from a Peters polynomials expansion: l0 = 2; m0 = 2; p(t) = (1 + t)^x/(1 + (1 + t)^l0)^m0.at n=34A137393
• A triangular sequence of coefficients of the expansion of a Green's function for the radial Morse potential with x being the kinetic energy and t being the radius: Hamiltonian; H=K+V=x+Exp[-2*t]-2*Exp[t];G*Exp[t*x)=Exp[x*t]/(t-H); p(t,x)=Exp[t*x]/(t-x-Exp[-2*t] + 2*Exp[-t]).at n=27A138160
• Coefficients of polynomials (in descending powers of x) P(n,x) := -1 + P(n-1,x)^2, where P(1,x) = x - 1.at n=38A158984
• Coefficients of polynomials Q(n,x):=-2+(1+Q(n-1,x))^2, where Q(1,x)=x-2.at n=39A158986
• 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=6A193354
• Expansion of theta_4(q)^16 in powers of q = exp(Pi i t).at n=3A319307
• T(n, k) = 2^n * n! * [x^k] [z^n] (4*exp(x*z))/(exp(z) + 1)^2, triangle read by rows, for 0 <= k <= n. Coefficients of Euler polynomials of order 2.at n=31A326480
• Expansion of Product_{k>=1} (1 - x^k * (k + x)).at n=28A336977
• Fourier coefficients of the modular form (1/t_{3A}) * sqrt(1 - 108/t_{3A}) * F_{3A}^10.at n=7A341555
• a(n) = Sum_{k=0..n} k^4 * (-1)^k * 3^(n-k) * binomial(n,k).at n=7A383151