-317

Appears in sequences

• Expansion of e.g.f. arctan(log(x+1)/exp(x)).at n=4A013563
• Signed distance of primes from LCM(1,...,x) being closest to it. Arguments x were selected from A000961 (powers of primes including primes) in order to use distinct values of LCM exactly once. When both closest primes are in the same distance, then negative were used.at n=63A058030
• a(n) = mu(n)*prime(n).at n=65A062007
• Expansion of x*(1+2*x+3*x^2+4*x^3+4*x^4)/(1+x+x^2+x^3-x^5).at n=39A122520
• Sequence with Hankel transform equal to the Somos-4 sequence A006769(n+2).at n=12A178072
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 113", based on the 5-celled von Neumann neighborhood.at n=11A270180
• 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=32A290844
• The sequence is {a(n), n>=0}, the concatenation of the binary expansions of the absolute values |a(n)| is {b(n), n>=0}; start with a(0)=0; thereafter a(n) = a(n-1)+n if b(n-1)=0, otherwise a(n) = a(n-1)-n.at n=46A309217
• The sequence is {a(n), n>=0}, the concatenation of the binary expansions of the absolute values |a(n)| is {b(n), n>=0}; start with a(0)=0; thereafter a(n) = a(n-1)+n if b(n-1)=0, otherwise a(n) = a(n-1)-n.at n=54A309217
• Dirichlet inverse of Čiurlionis sequence, A342002.at n=40A342417
• Dirichlet convolution of A000027 (the identity function) with the Dirichlet inverse of the inverse permutation of EKG-permutation.at n=44A349616
• a(0) = 1; a(n) = Sum_{k=0..floor((n-1)/2)} (-3)^k * a(k) * a(n-2*k-1).at n=9A352010
• G.f. satisfies A(x) = 1 + x*A(x)^2 / (1 + x*A(x)^3).at n=9A363982
• a(n) = A325977(A228058(n)).at n=21A389217