-1210

Appears in sequences

• Expansion of f(-q) / f(q) in powers of q where f() is a Ramanujan theta function.at n=25A108494
• Matrix inverse of triangle A113287.at n=46A113288
• Matrix logarithm of triangle A113287.at n=60A113290
• Matrix inverse of triangle A122175, where A122175(n,k) = C( k*(k+1)/2 + n-k, n-k) for n>=k>=0.at n=32A121435
• Triangle by rows with row n formed by coefficients of the characteristic polynomial of the n X n tridiagonal matrix with m_{i,i} = 2 for i=1..n, m_{i,i-1} = m_{i,i+1} = -1 for i=2..n-1, and m_{1,2} = m_{n,n-1} = -2.at n=50A140882
• A triangular sequence of the expansion of: (1-Prime[n])^n: t(n,m)=(-1)^m*Prime[n]^(n - m)*Binomial[n, m]; with Prime[0]=1 defined to extend and lower the results.at n=18A141028
• Expansion of phi(-q) / phi(q^2) in powers of q where phi() is a Ramanujan theta function.at n=25A210030
• Coefficient array for powers of x^2 of the square of Chebyshev's C(2*n+1,x)/x =: tau(n,x) polynomials.at n=26A220669
• Expansion of q * (f(-q, -q^7) / f(-q^3, -q^5))^2 in powers of q where f(,) is Ramanujan's two-variable theta function.at n=49A230535
• Let f(x) = 1 + Sum_{j>=4} (|mu(j)| - |mu(j-1)|)*x^j, where mu(n) is the Möbius function (A008683). Then a(n) is n times the coefficient of x^n in the expansion of log(f(x)).at n=30A262400
• G.f.: Im((2*i; x)_oo), where (a; q)_oo is the q-Pochhammer symbol, i = sqrt(-1).at n=32A292140
• G.f. A(x,y) = Sum_{-oo..+oo} (x - y^n)^(n+1), as a flattened rectangular array of coefficients T(n,k) of x^n * y^(k*(n+k-1)) in A(x,y) for n>=1.at n=100A293600
• Expansion of Product_{k>=1} ((1 - 2*x^k)/(1 + 2*x^k))^(1/2).at n=13A303345
• Coefficients of q-expansion of Eisenstein series G_{5/2}(tau) multiplied by 120.at n=25A306934
• T(n, k) = ((2*n + 1)/2)*Sum_{j, k, n} (-1)^(k + j)*(n + j)*binomial(2*n, n - j)* Stirling2(n - k + j, 1 - k + j) with T(0, 0) = 1. Triangle read by row, T(n, k) for 0 <= k <= n.at n=19A342312
• Sequence composed of consecutive square matrices A(d) with dimension d=1,2,3,... Matrix elements are arranged by increasing row index i, and, within fixed i, by increasing column index j. Each block A(d) is related to the inverse of a class of integer Vandermonde matrices.at n=75A347781
• Expansion of e.g.f. exp(x)^( cos(x) - sin(x) ).at n=7A354546
• a(n) is the minimal determinant of an n X n symmetric Toeplitz matrix using the integers 0 to n - 1.at n=5A358323