-1120

Appears in sequences

• Glaisher's function G(n) (18 squares version).at n=6A002609
• 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=30A075615
• Array of coefficients in Zagier's polynomials P_(n,0)(x).at n=17A075733
• Expansion of (1-x)^(-1)/(1-x+x^3).at n=53A077869
• Expansion of 1/(1 - x^2 - x^3 + x^4).at n=60A077905
• Expansion of (1-x)/(1+2*x^2-2*x^3).at n=16A078034
• Sum_{k=1..n-1} J(2*n,k)*k^2, where J(i,j) is the Jacobi symbol.at n=27A097543
• Sum_{k=1..2n-1} J(4*n,k)*k^2, where J(i,j) is the Jacobi symbol.at n=13A097544
• Triangle read by rows: T(n,k) is the coefficient of x^k (0<=k<=n) in the monic characteristic polynomial of the n X n matrix with 3's on the diagonal and 1's elsewhere (n>=1). Row 0 consists of the single term 1.at n=41A103247
• Expansion of -2*x/(1 - 4*x + 2*x^2).at n=6A106731
• Expansion of q^(-1) * f(-q^2, -q^5)^2 * f(-q^3, -q^4) / f(-q^1, -q^6)^3 in powers of q where f() is Ramanujan's two-variable theta function.at n=46A108481
• A characteristic triangle for the Euler totient function (A000010).at n=22A110032
• a(n) is the determinant of the 3 X 3 matrix with entries the 9 consecutive primes starting with the n-th prime.at n=19A117330
• 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=31A118441
• Triangle read by rows: let p(n, x) = x*p(n-1, x) - p(n-2, x), then T(n, x) = d^2/dx^2 (p(n, x)).at n=48A122766
• Triangle of coefficients of polynomials P(k) = 2*X*P(k - 1) - P(k - 2), P(0) = -1, P(1) = 1 + X, with twisted signs.at n=61A123956
• Coefficients of a partition transform for Lagrange inversion of -log(1 - u(.)*t), complementary to A134685 for an e.g.f.at n=14A133932
• Triangle read by rows: row n gives coefficients C(n,j) for a Sheffer sequence (binomial-type) with raising operator -x { 1 + W[ -exp(-2) * (2+D) ] } where W is the Lambert W multi-valued function.at n=32A135338
• Triangular sequence from a Peters polynomials expansion: l0 = 2; m0 = 2; p(t) = (1 + t)^x/(1 + (1 + t)^l0)^m0.at n=11A137393
• Triangle read by rows: coefficients from the expansion of p(x,t) = tan(x*arctan(t)) which is in the Chebyshevlike form: T(t,x) = cos(x*arccos(t)).at n=17A137668