-839

Appears in sequences

• a(1) = 1, a(2n) = a(2n-1) + c(n) and a(2n+1) = a(2n) - p(n), where c(n)=A002808(n) and p(n)=A000040(n) are the n-th composite and n-th prime numbers, respectively.at n=60A073891
• a(n) = Sum_{k=0..n} A105595(k)*(-1)^k*A105595(n-k) (interpolated zeros suppressed).at n=33A105596
• Diagonal sums of triangle A110324.at n=40A110326
• Expansion of (1-5*x-x^2+x^3)/((1+x)*(1-x)^3).at n=28A141354
• a(n)=1-4*n-4*n^2.at n=14A184882
• Second differences of A000463; first differences of A188652.at n=40A188653
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A203003; by antidiagonals.at n=12A203004
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 65", based on the 5-celled von Neumann neighborhood.at n=15A270086
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 323", based on the 5-celled von Neumann neighborhood.at n=15A271256
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 345", based on the 5-celled von Neumann neighborhood.at n=15A271296
• a(n) = A134028(A323782(n)): Primes and negated primes such that the reverse of the balanced ternary representation is a prime.at n=47A323783
• a(n) = n! * Sum_{k=0..floor(n/4)} (-1)^k / (n-4*k)!.at n=7A337751
• Expansion of e.g.f. exp(x * (1 - x^3)).at n=7A351905
• a(n) = n! * Sum_{k=0..floor(n/4)} (-k)^k / (k! * (n-4*k)!).at n=7A362339
• a(n) = 2*sigma(n) - sigma(A003961(n)), where A003961 is fully multiplicative with a(prime(i)) = prime(i+1).at n=63A378752