-3584
domain: Z
Appears in sequences
- Triangle of coefficients of Chebyshev polynomials T_n(x).at n=45A008310
- Coefficients of Chebyshev polynomials of the first kind: triangle of coefficients in expansion of cos(n*x) in descending powers of cos(x).at n=45A028297
- Triangle of nonzero coefficients of Hermite polynomials H_n(x) in increasing powers of x.at n=23A059343
- Triangle read by rows. T(n, k) are the coefficients of the Hermite polynomial of order n, for 0 <= k <= n.at n=42A060821
- Let P(k,X) = Product_{i=1..2*k} (X-1/cos(Pi*(2*i-1)/(4*k)) ) which is a polynomial with integer coefficients. Sequence gives array of coefficients for P(k,X).at n=41A075615
- Array of coefficients in Zagier's polynomials P_(n,0)(x).at n=23A075733
- Expansion of (1-x)/(1+2*x-2*x^3).at n=17A078060
- a(n) = -2*a(n-1) + 4*a(n-3), with a(0) = 1, a(1) = -2, a(2) = 4.at n=13A099211
- Triangle L, read by rows, equal to the matrix log of A118435, with the property that L^2 consists of a single diagonal (two rows down from the main diagonal).at n=37A118441
- Triangle read by rows: T satisfies the matrix products: C*T*C = T^-1 and T*C*T = C^-1, where C is Pascal's triangle.at n=48A118800
- Coefficient table for Chebyshev polynomials T(2*n,x) (increasing even powers x, without zeros).at n=24A127674
- Coefficient array for orthogonal polynomials defined by C(2n,n).at n=24A128411
- A triangular sequence of coefficients of even plus odd Chebyshev polynomials, A053120: q(x,n) = T(x,2*n-1)+T(x,2*n).at n=43A137307
- Coefficients of generalized factorial polynomials p(x, n) = (x/a - (n-1))*p(x, n-1) with p(x, 0) = 1, p(x, 1) = x/a and a = 1/2. Triangle read by rows, for n >= 0 and 0 <= k <= n.at n=43A137312
- Triangle read by rows: expansion of (1 + 3*x^2)/(1 - x*(2*y-x)).at n=73A138476
- Triangle T(n, k) = coefficients of p(n, x), where p(n, x) = (-1)^n*(x+2-n)*(x+2)^(n-1), p(0, x) = 1, and p(1, x) = -1-x, read by rows.at n=38A158285
- Hankel transform of A084076.at n=3A167435
- Triangle read by rows: terms of a binomial decomposition of 0^(n-1) as Sum(k=0..n)T(n,k).at n=37A244129
- Triangle read by rows: T(n,k) is the coefficient A_k in the transformation of 1 + x + x^2 + ... + x^n to the polynomial A_k*(x+k)^k for 0 <= k <= n.at n=32A248826
- Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = 5/3.at n=22A279676