-708

Appears in sequences

• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 8.at n=34A060027
• Riordan array (1-u, u) where u=(-1 + sqrt(1+8*x))/4.at n=41A110292
• Expansion of (phi(-q) / phi(-q^2))^3 * phi(q^3)^5 / phi(-q^6) in powers of q where phi() is a Ramanujan theta function.at n=45A134078
• Triangle T(n, k) = k! - n! + (n-k)! read by rows.at n=24A155170
• Coefficients of polynomials from matrix characteristic polynomials: m(n,m,d)=If[ m <= n, Mod[Binomial[n, m], 2], 0]; M(n)=m(n,m,d).Transpose[m(n,m,d)].Transpose[m(n,m,d)].m(n,m,d).at n=24A158202
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 139", based on the 5-celled von Neumann neighborhood.at n=17A270281
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 219", based on the 5-celled von Neumann neighborhood.at n=15A270933
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 459", based on the 5-celled von Neumann neighborhood.at n=17A272290
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 601", based on the 5-celled von Neumann neighborhood.at n=34A272825
• Coefficients in the expansion of ([s] + [2s]x + [3s]x^2 + ...)/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = sqrt(3), s = sqrt(2).at n=23A279629
• Start with 2, then successively subtract the primes 3, 5, 7, ...at n=20A282329
• G.f.: A(x,q) = sqrt( Q(x,q) / Q(x,-q) ), where Q(x,q) = Sum_{n=-oo..+oo} (x - q^n)^n.at n=203A292929