-685
domain: Z
Appears in sequences
- Inverse Euler transform of primes.at n=25A030010
- 5th differences of partition numbers A000041.at n=52A081095
- Expansion of 1/(1 - x + x^4).at n=41A099530
- Expansion of chi(q^5) * chi(q^10) / ( chi(q) * chi(q^2)) in powers of q where chi() is a Ramanujan theta function.at n=63A128763
- a(0) = -1; a(1) = 0; a(2) = 1; a(3) = -1; a(n) = a(n-1) - 3*a(n-2) + 3*a(n-3) - a(n-4).at n=15A141577
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 145", based on the 5-celled von Neumann neighborhood.at n=15A270289
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 326", based on the 5-celled von Neumann neighborhood.at n=33A271262
- Triangle T(n, m) appearing in the expansion of Jacobi's elliptic function cn(u, k) divided by cos(v) in terms of the Jacobi nome q and even powers of 2*cos(v) with v = u/((2/Pi)*K(k)).at n=47A275791
- a(n) = Sum_{d divides n} (-1)^(d + n/d) * d^2.at n=31A321558
- a(n) = Sum_{d|n} (-1)^(n/d-1) * binomial(d+n/d-1, d).at n=35A344777
- Dirichlet g.f.: zeta(s-3)^2 * (1 - 2^(4-s)) / zeta(s).at n=13A369101