-507

Appears in sequences

• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 5.at n=34A060024
• Riordan array (((1+x)^2 - x^3)/(1+x)^3, 1/(1+x)).at n=72A099569
• McKay-Thompson series of class 40d for the Monster group.at n=59A112182
• A triangle of polynomial coefficients: p(x,n)=-(ChebyshevT[n, x] - ((x + 1)^n + (1 - x)^n)); sp(x,n) = p(x, n) + x^n*p(1/x, n).at n=55A155993
• A triangle of polynomial coefficients: p(x,n)=-(ChebyshevT[n, x] - ((x + 1)^n + (1 - x)^n)); sp(x,n) = p(x, n) + x^n*p(1/x, n).at n=65A155993
• Triangle read by rows: row n gives coefficients in an expansion of M_n*M_{-n}, where M_n = x^n+y^n+z^n and x,y,z satisfy x+y+z=0.at n=52A259107
• Triangle read by rows of coefficients of polynomials Q_n(x) = 2^(-n)*((x + sqrt(x*(x + 6) - 3) + 1)^n - (x - sqrt(x*(x + 6) - 3) + 1)^n)/sqrt(x*(x + 6) - 3).at n=71A271451
• Expansion of Product_{k>0} ((1-x^{5k-2}) * (1-x^{5k-3})/((1-x^{5k-1}) * (1-x^{5k-4})))^2 in powers of x.at n=38A285442
• Expansion of (eta(q)*eta(q^3))/eta(q^2)^2 in powers of q.at n=25A293306
• Triangle read by rows, defined by Riordan's general Eulerian recursion: T(n, k) = (k+3)*T(n-1, k) + (n-k-2) * T(n-1, k-1) with T(n,1) = 1, T(n,n) = (-2)^(n-1).at n=26A306547
• Dirichlet g.f.: zeta(s-1) / (zeta(s) * zeta(s-2)).at n=22A328502
• Values z of primitive solutions (x, y, z) to the Diophantine equation x^3 + y^3 + 2*z^3 = 2.at n=47A336166
• Values z of primitive solutions (x, y, z) to the Diophantine equation x^3 + y^3 + 2*z^3 = 1458.at n=36A336226
• Expansion of 1 / Sum_{k>=0} x^(k*(2*k - 1)).at n=39A361979
• a(1) = 1, a(2) = 3; a(n) = n^2 * Sum_{d|n, d < n} (-1)^(n/d) a(d) / d^2.at n=25A361986
• Partial alternating sums of Pillai's arithmetical function (A018804).at n=42A370895
• a(n) = A325977(A228058(n)).at n=49A389217