-946

Appears in sequences

• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 6.at n=36A060025
• Alternating sum of squares to n.at n=42A089594
• Coefficients of the C-Rogers-Selberg identity.at n=51A104410
• Triangle T, read by rows, where row n of T equals row n of matrix (n+1)-th power of triangle A112555.at n=59A113287
• Triangle read by rows: T(n,k) is the coefficient of x^k in the polynomial p[n,x] defined by p[ -1,x]=0, p[0,x]=1, p[1,x]=-x, p[n,x]=x*p[n-1,x]-(n-1)*p[n- 2,x]+(n-2)*p[n-3,x] for n>=2 (0<=k<=n).at n=56A123730
• a(n) = mu(n) * A000217(n).at n=42A125287
• A triangular sequence of coefficients made from a product sum of the Pascal/binomial and the Chebyshev T Polynomials: t(n,m)=-Sum[Binomial[n + 1, k + 1]*CoefficientList[ChebyshevT[k + 1, x], x][[m]], {k, m, n}].at n=47A142701
• G.f. satisfies: A(x) = 1 + x/A(-x)^2.at n=8A213252
• Expansion of f(-x^1, -x^7) * f(-x^2, -x^6) / (f(-x^3, -x^5) * f(-x^4, -x^4)) in powers of x where f(, ) is Ramanujan's general theta function.at n=54A226559
• Expansion of f(-x^3, -x^5)^2 / (psi(-x) * psi(x^2)) in powers of x where psi() is a Ramanujan theta function and f(, ) is Ramanujan's general theta functions.at n=55A245433
• First term of n-th difference sequence of (floor(-k*e)), k >= 0.at n=12A325735
• First term of n-th difference sequence of (floor(2*Pi*k)), k >= 0.at n=12A325740
• a(1) = 1; a(n) = -(1/2) * Sum_{d|n, d > 1} d * (d + 1) * a(n/d).at n=42A334879
• Expansion of g.f. (theta_3(x) - 1)/2 * Product_{n>=1} (1 - x^(4*n-2)) / (1 - x^(4*n)).at n=54A370153
• a(n) is the minimal determinant of an n X n symmetric Toeplitz matrix having 0 on the main diagonal and all the integers 1, 2, ..., n-1 off-diagonal.at n=5A374279