-536

Appears in sequences

• 1 + Sum_{n>=1} a_n x^n = Product_{n>=1} (1-x^n)^prime(n).at n=25A007441
• Expansion of e.g.f. tanh(x)*exp(tanh(x)).at n=8A009831
• Expansion of (1-x)/(1-2*x+x^2+x^3).at n=17A078001
• Expansion of (1-x)/(1 + x^2 - x^3).at n=32A078031
• Sum_{k=1..2*n-1} J(n,k)*k where J(i,j) is the Jacobi symbol.at n=69A097540
• Sum_{k=1..2*n-1} J(4*n,k)*k, where J(i,j) is the Jacobi symbol.at n=69A097542
• Triangle formed by coefficients of the expansion of p(x, n), where p(x,n) = (1 + 2*x - x^2)^(n + 1)*Sum_{j >= 0} (j+1)^n*(-2*x + x^2)^j.at n=33A156901
• Triangle formed by coefficients of the expansion of p(x,n) = (1+x-x^2)^(n+1)*Sum_{j >= 0} (2*j+1)^n*(-x + x^2)^j.at n=19A156918
• Numerator of Hermite(n, 2/5).at n=3A158961
• Expansion of o.g.f. (1-x^2)/(1-x+x^4).at n=50A193884
• Expansion of the unique weight 11/2 Gamma1(4) cusp form in powers of q.at n=18A256552
• Expansion of phi(-q^2) / phi(-q^3) in powers of q where phi() is a Ramanujan theta function.at n=38A262967
• Alternating sum of hexagonal pyramidal numbers.at n=11A266677
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 422", based on the 5-celled von Neumann neighborhood.at n=43A272088
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 822", based on the 5-celled von Neumann neighborhood.at n=55A273370
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 742", based on the 5-celled von Neumann neighborhood.at n=31A273485
• Convolution square of A112274.at n=39A285355
• Expansion of Product_{k>=1} 1/(1 - (x*(1 - x))^k).at n=15A307500
• Inverse Euler transform of the number of prime factors (with multiplicity) function A001222.at n=48A320776
• Expansion of 1/(Sum_{k>=0} x^(k^2))^3.at n=15A363775