-1085

Appears in sequences

• Denominator of polynomial a[1]=1, a[2]->1+1/(x*a[1]), a[3]->1+1/(2*x*a[2]), a[4]->1+1/(3*x*a[3]),.. giving 1,(1+x)/x,(3+2*x)/(2*(1+x)),(2+11*x+6*x^2)/(3*x*(3+2*x)), .. at x-> -1. Absolute values are equal to A067078(n)/n.at n=7A130045
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 342", based on the 5-celled von Neumann neighborhood.at n=33A269512
• Expansion of Product_{k>=1} (1 - q(k)*x^k), where q(k) = number of partitions of k into distinct parts (A000009).at n=37A304786
• Triangle read by rows: T(0,0) = 1; T(n,k) = T(n-1,k) - 2*T(n-1,k-2) + T(n-1,k-3) for k = 0..3n; T(n,k)=0 for n or k < 0.at n=79A318686
• Dirichlet g.f.: 1 / (zeta(s) * zeta(s-1) * zeta(s-2)).at n=49A328254
• Triangle read by rows: coefficients of expansion of certain weighted sums P_1(n,k) of Fibonacci numbers as a sum of powers.at n=32A341723
• G.f. A(x) satisfies: A(x*R(x)) = x^2 + x^3 where A(R(x)) = x.at n=9A350431