-483
domain: Z
Appears in sequences
- E.g.f. cos(log(cos(x))), even powers only.at n=4A012003
- Column 0 of triangle A055138.at n=11A055139
- Expansion of (1-x)^(-1)/(1-x+2*x^2).at n=20A077876
- Expansion of g.f.: (1+3*x^2)/((1-x)*(1+x+2*x^2)*(1-x+2*x^2)).at n=20A107443
- Expansion of g.f.: (1+3*x^2)/((1-x)*(1+x+2*x^2)*(1-x+2*x^2)).at n=21A107443
- 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=39A108481
- Determinants of 3 X 3 matrices of continuous blocks of 9 consecutive semiprimes.at n=19A118781
- Expansion of x*(x^3+2*x^2+3*x-1)/(x+1)^5.at n=7A119515
- a(n) = (-1)^n*n*(n-2).at n=22A131386
- a(2*n) = 1-n^2, a(2*n+1) = n*(n+1).at n=42A131723
- A nonsense sequence.at n=65A139336
- A nonsense sequence.at n=65A139343
- Expansion of (1-5*x-x^2+x^3)/((1+x)*(1-x)^3).at n=21A141354
- Triangle T(n, k, q) = q^k*Q(k, n, q), with T(0, 0, q) = -2, where Q(k, n, q) = (1/q)*( -Q(k-1, n, q) + (1+q)*p(q, k-1)^n), Q(k, 0, q) = -q*(1+q)^n, p(q, n) = Product_{j=1..n} ( (1-q^k)/(1-q) ), and q = 2, read by rows.at n=17A156222
- a(n) = 3 - 2*3^n.at n=5A165746
- Expansion of g.f. (1+3*x)/((1-x)*(1+3*x+4*x^2)).at n=10A174565
- A symmetrical triangle sequence: T(n, k) = q^k + q^(n-k) - q^n, with q=3.at n=22A176225
- A symmetrical triangle sequence: T(n, k) = q^k + q^(n-k) - q^n, with q=3.at n=26A176225
- Expansion of q^(-1) * f(-q^3, -q^4)^3 / (f(-q^1, -q^6)^2 * f(-q^2, -q^5)) in powers of q where f() is Ramanujan's two-variable theta function.at n=39A246713
- a(n) = 1 - n^2.at n=22A258837