-748
domain: Z
Appears in sequences
- Inverse image of primes 2,3,5,7,... under the map Q defined in A095172.at n=67A095174
- binomial(2n,n) - (2n)^pi(n), where pi(n) is the number of primes <= n.at n=4A220314
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 318", based on the 5-celled von Neumann neighborhood.at n=44A271253
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 534", based on the 5-celled von Neumann neighborhood.at n=39A272789
- Square array read by antidiagonals downwards: A(n, k) = (Sum_{i=1..n} i^k) - (n+1)^k for n >= 1, k >= 1.at n=23A290844
- Expansion of e.g.f. log(Sum_{k>=0} q(k)*x^k/k!), where q(k) = number of partitions of k into distinct parts (A000009).at n=8A300515
- a(n) = 1*2*3 - 4*5*6 + 7*8*9 - 10*11*12 + 13*14*15 - ... + (up to n).at n=13A319543
- G.f. A(x) satisfies: A(x) = 1 + x * ((1 - x) * A(x))^2.at n=12A336165
- a(n) = 1 + Sum_{k=2..n} (-1)^k * k * a(floor(n/k)).at n=57A361982
- Expansion of B(x)^2, where B(x) is the g.f. of A108483.at n=61A373122
- Alternating sum of twin primes (A001097).at n=59A376890