-4159

Appears in sequences

• Expansion of Product_{i>=1} (1-x^i)^(1/i); also of exp(- Sum_{n>=1}(d(n)*x^n/n)) where d(n) is the number of divisors of n.at n=8A028343
• Somos-5 sequence variant: a(n) = (a(n-1) * a(n-4) - a(n-2) * a(n-3)) / a(n-5), a(0) = 0, a(1) = a(2) = a(3) = a(4) = 1, a(5) = 2.at n=21A210098
• Somos-4 sequence variant: a(n) = (a(n-1)*a(n-3) - a(n-2)^2)/a(n-4), a(0) = 1, a(1) = 1, a(2) = 2, a(3) = -1.at n=10A277279
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: Product_{j>0} (1-j^k*x^j)^(1/j).at n=44A294616
• a(n) = Sum_{d|n} (-1)^(d-1)*d^6.at n=3A321545
• First term of n-th difference sequence of (floor(k*r)), r = -sqrt(3), k >= 0.at n=14A325667
• Site percolation series for hexagonal lattice: coefficients of the power series expansion in powers of q=1-p of the probability that a given site (not assumed to be open) belongs to the infinite cluster, where p is the probability that a site is open.at n=10A391392