-583

Appears in sequences

• a(n) = Sum_{k=0..n} A105595(k)*(-1)^k*A105595(n-k) (interpolated zeros suppressed).at n=31A105596
• Matrix inverse of A107719.at n=16A107727
• a(n) = Sum_{d|n} (-1)^(d-1)*d^3.at n=7A138503
• G.f.: x^(k^2)/(mul(1-x^(2*i),i=1..k)*mul(1+x^(2*r-1),r=1..oo)) with k=3.at n=30A246579
• Expansion of phi(-x^2)^6 * psi(x^6) / f(x)^2 in powers of x where phi(), psi(), f() are Ramanujan theta functions.at n=42A263398
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 401", based on the 5-celled von Neumann neighborhood.at n=13A271806
• Expansion of Product_{k>=0} (1-x^(3*k+2))^(3*k+2).at n=21A285212
• Inverse Euler transform of the sum-of-divisors or sigma function A000203.at n=42A320780
• Product_{n>=1} (1 + x^n)^a(n) = 1 + Sum_{n>=1} sigma(n) * x^n, where sigma = A000203.at n=42A328776
• Triangle read by rows. T(n, k) = k^n * BellPolynomial(n, -1/k) for k > 0, if k = 0 then T(n, k) = k^n.at n=30A350261
• Triangle read by rows. T(n, k) = B(n, n - k + 1) where B(n, k) = k^n * BellPolynomial(n, -1/k) for k > 0, if k = 0 then B(n, k) = k^n.at n=34A350262
• Product_{n>=1} (1 + a(n)*x^n) = 1 + Sum_{n>=1} sigma(n)*x^n, where sigma = A000203.at n=42A353924
• Product_{n>=1} 1 / (1 - a(n)*x^n) = 1 + Sum_{n>=1} sigma(n)*x^n, where sigma = A000203.at n=42A353947
• Expansion of B(x)^2, where B(x) is the g.f. of A108483.at n=60A373122