-1007

Appears in sequences

• a(n) = a(n-2) - (n-1)*a(n-3), with a(0) = 0, a(1) = 1, a(2) = 2.at n=13A122021
• Expansion of phi(-x^3) * f(-x, -x^5) / psi(x) in powers of x where phi(), psi(), f(, ) are Ramanujan theta functions.at n=21A262614
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 41", based on the 5-celled von Neumann neighborhood.at n=19A269875
• a(n) = n! * [x^n] exp(x/(1 + n*x)).at n=4A318224
• G.f. A(x) satisfies: A(x) = Product_{n>=0} (1-x^(5*n+1)*A(x)) * (1-x^(5*n+4)*A(x)) / ( (1-x^(5*n+2)*A(x)) * (1-x^(5*n+3)*A(x)) ).at n=11A341960