-569
domain: Z
Appears in sequences
- a(n+1) = a(n) - a(floor(n/2)), with a(0)=0, a(1)=1.at n=58A062187
- Euler transform of negative integers.at n=27A073592
- Expansion of (1-x)^(-1)/(1+x-2*x^3).at n=20A077904
- Expansion of (1 + x)/(1 + 2x + x^3).at n=9A110513
- Semiprime(n)*semiprime(n+3) - semiprime(n+1)*semiprime(n+2), where semiprime(n) is the n-th semiprime.at n=57A118780
- Expansion of chi(-q) * chi(-q^15) / (chi(-q^6) * chi(-q^10)) in powers of q where chi() is a Ramanujan theta function.at n=49A132968
- a(n) = (5*2^(n+2) - 3*n*2^n - 2*(-1)^n) / 18.at n=10A139790
- Values of n such that L(5) and N(5) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=26A226925
- Expansion of chi(x^3) / chi(x) in powers of x where chi() is a Ramanujan theta function.at n=53A227398
- 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=13A270289
- Expansion of Product_{j>=1} (1 - x^j)/(1 - x^(4*j))^4.at n=26A286953
- Square array A(n,k), n >= 0, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. 1/Product_{j > 0, j mod k > 0} exp(x^j).at n=61A293530
- Numbers k in pairs (j,k), with j <> k +- 1, such that the sum of their cubes is equal to a centered cube number.at n=31A352136
- Numerators of the partial alternating sums of the reciprocals of the unitary totient function (A047994).at n=17A379519