-564

Appears in sequences

• Expansion of 6-dimensional cusp form (eta(q) * eta(q^3))^6 in powers of q.at n=11A007332
• Alternating sum sigma(1)-sigma(2)+sigma(3)-sigma(4)+...+((-1)^(n+1))*sigma(n).at n=54A068762
• Expansion of ((b(q)*c(q))^3 - 8*(b(q^2)*c(q^2))^3) / 27 in powers of q where b(), c() are cubic AGM theta functions.at n=10A128486
• G.f.: Product_{k>0} (1-x^(4k-1)) / (1-x^(4k-2)).at n=51A131795
• Let c(n) = x^(2^n-1)*(1-x^(2^n)), g(n) = 1 + x^(2^n-1) + x^(2^n), h(n) = Product_{i=1..n} g(i); then use g.f. Sum_{n>=1} c(n)/h(n).at n=47A151676
• Expansion of x^5/((1-x)*(1+x-x^5)).at n=48A174532
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j) = gcd(prime(i+1), prime(j+1)) (A204120).at n=17A204121
• a(n) = 3*a(n-2) - a(n-3), with a(0)=0, a(1)=a(2)=-3.at n=11A215665
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 262", based on the 5-celled von Neumann neighborhood.at n=31A271068
• Start with 2, then successively subtract the primes 3, 5, 7, ...at n=18A282329
• Expansion of Product_{k>=0} (1-x^(4*k+1))^(4*k+1).at n=29A285070
• Expansion of Product_{k>=1} (1 - k!*x^k).at n=6A292280
• Expansion of Sum_{k>0} (1/(1+x^k)^4 - 1).at n=12A363631