-3328

Appears in sequences

• Array of coefficients of polynomials p(n,x) = 2^(n-1)*Product_{i=0..n} (x - cos(i*Pi/n)) of degree (n+1) with P(-1,x) = 1, P(0,x) = 0.at n=88A076626
• Triangle read by rows of coefficients of Chebyshev-like polynomials P_{n,2}(x) with 0 omitted (exponents in increasing order).at n=44A136388
• a(n)= +2*a(n-2) +4*a(n-3), n>3.at n=10A173559
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j)=(i if i=j and 1 otherwise) (A204125).at n=21A204128
• Array of coefficients of powers of x^2 for (S(2*n+1,x)/x)^3, with Chebyshev's S polynomials A049310.at n=47A220665
• L.g.f.: log(1 + 2*Sum_{n>=1} 2^n * x^(n^2)).at n=5A227312
• Expansion of psi(x)^2 * phi(-x)^6 in powers of x where phi(), psi() are Ramanujan theta functions.at n=35A227695
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 459", based on the 5-celled von Neumann neighborhood.at n=39A272290
• a(n) is the determinant of an n X n Hermitian Toeplitz matrix whose first row consists of 1, 2*i, ..., n*i, where i denotes the imaginary unit.at n=13A359559
• Dirichlet g.f.: zeta(s-2)^2 * (1 - 2^(3-s)) / zeta(s).at n=31A368929
• G.f. A(x) satisfies A(x) = sqrt( (1 + 2*x) * (1 + 2*x*A(x)) ).at n=20A379326