-812

Appears in sequences

• G.f. satisfies: A(x) = 1/(1 + x*A(x^8)) and also the continued fraction: 1 + x*A(x^9) = [1; 1/x, 1/x^8, 1/x^64, 1/x^512, ..., 1/x^(8^(n-1)), ...].at n=53A101918
• a(n) = a(n-1) - 2*a(n-2) - 3*a(n-3) - ... - (n-1)*a(1), with a(1) = a(2) = 1, a(3) = -1.at n=12A106540
• 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=51A122520
• a(2*n) = A000217(n), a(2*n+1) = -2*A000217(n).at n=57A131259
• a(n) = (-n^5 + 15*n^4 - 65*n^3 + 125*n^2 - 34*n + 40)/40.at n=12A161713
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 605", based on the 5-celled von Neumann neighborhood.at n=35A273178
• Irregular triangle read by rows: row n gives scaled coefficients of the chromatic polynomial corresponding to colorings of the n-hypercube graph up to automorphism, highest powers first, 0 <= k <= 2^n.at n=15A334358
• G.f.: Sum_{n=-oo..+oo} x^(n^2) * C(x)^(6*n-9), where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108).at n=7A356779