-989

Appears in sequences

• A sixth-order linear divisibility sequence: a(n+6) = -3*a(n+5) - 5*a(n+4) - 5*a(n+3) - 5*a(n+2) - 3*a(n+1) - a(n).at n=22A005120
• a(n) = (n+1)*(2-n)/2.at n=45A080956
• Array T(r,c) read by antidiagonals: values of triangle A098493 interpreted as polynomials, r >= 0.at n=60A098495
• Main diagonal of triangle A098495.at n=5A098497
• G.f. satisfies: A(x) = 1/(1 + x*A(x^2)) and also the continued fraction: 1 + x*A(x^3) = [1; 1/x, 1/x^2, 1/x^4, 1/x^8, ..., 1/x^(2^(n-1)), ...].at n=33A101912
• Expansion of (1+x+5x^2+2x^3) / (1-4x^2+x^4).at n=12A108413
• Expansion of g.f. 1+x+(1+3*x+x^2)/(1+x)^3.at n=44A201163
• G.f. A(x) satisfies A(x) = 1 + x / A(x^2).at n=67A218031
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 379", based on the 5-celled von Neumann neighborhood.at n=19A271538
• Expansion of Product_{k>=0} (1-x^(4*k+3))^(4*k+3).at n=31A285213