-3000

Appears in sequences

• Triangle read by rows: characteristic polynomials of certain matrices, see Mathematica program.at n=62A124040
• Expansion of q^(-1/3) * (eta(q)^8 + 32 * eta(q^4)^8) in powers of q.at n=33A153729
• Expansion of the unique normalized cusp form of Gamma_0(5) of weight 6 in powers of q.at n=39A226347
• G.f.: A(x,y) = Sum_{n>=0} x^n * Product_{k=1..n} (k + x*y) / (1 + k*x*y), as a triangle read by rows.at n=28A231171
• Difference between sums of quadratic residues and non-residues modulo n (residues are not necessarily coprime to n).at n=99A255644
• Expansion of Product_{k>0} (1 - x^k)^(4*k).at n=20A316463
• a(n) = n^2 * Sum_{d|n} (-1)^(n/d + 1) * mu(d) / d^2.at n=49A338547
• Square array T(n, k) read by ascending antidiagonals, T(n, k) = Sum_{j=0..n} (-1)^(n + j)*(6 - n + j)^k * binomial(12, n - j) if k > 0 and (-1)^n otherwise. T(n, k) for 0 <= n, k <= 11.at n=24A347211
• Expansion of [ Sum_{n>=0} 5^n * (2*4^n + 1)/3 * x^(n*(n+1)/2) ]^(1/3).at n=4A370336