-339
domain: Z
Appears in sequences
- a(1) = 1; a(n) = prime(n) - prime(n-1)* a(n-1) if n > 1.at n=5A079883
- a(n) = (7 - 4*(-2)^n)/3.at n=8A083594
- A generalized Jacobsthal sequence.at n=9A083944
- Expansion of -(3 - x + 2*x^2) / (1 - x^3 + x^4).at n=31A110063
- a(0)=a(1)=1, a(n) = 2*a(n-1)- A010686(n), n>1.at n=9A173114
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 377", based on the 5-celled von Neumann neighborhood.at n=11A271464
- a(n) = nearest integer to n^2 * sin(sqrt(n)).at n=19A274088
- Take alternate terms of A274088 and A274090.at n=38A274091
- a(n) = nearest integer to k^2*sin(sqrt(k)+j*Pi/2) where n = 3*k+j, 0<=j<3.at n=57A274092
- Expansion of 1/(1 + Sum_{i>=1} q^(i^2)/Product_{j=1..i} (1 + q^j)^2).at n=7A294407
- a(n) = Sum_{d|n} (-1)^(d-1)*d^2.at n=15A321543
- Expansion of Product_{k>=1} (1 - x^k)^Fibonacci(k).at n=25A357179
- Distinct values of A358777 in the order of their appearance.at n=36A359609
- E.g.f. A(x) satisfies A(x) = exp( 1/(1 - x/A(x)^2) - 1 ).at n=5A361096
- a(n) = A364574(A005940(1+n)), where A364574 is the Dirichlet inverse of A005941 [the inverse permutation of A005940].at n=42A364575
- Terms b(k) (for k > 0, and in order of appearance) such that both |b(k) - b(k-1)| and |b(k+1) - b(k)| are greater than 1, where b is A377091.at n=28A380224
- Expansion of e.g.f. 1/(1 - sin(3*x) / 3).at n=5A381286
- a(n) = A325977(A228058(n)).at n=34A389217