-595

Appears in sequences

• Expansion of Product (1 - x^k)^10 in powers of x.at n=12A010818
• Expansion of 1/(1+x+2*x^2+x^3).at n=23A077979
• Expansion of (1-x)/(1-x+x^3).at n=49A078013
• a(n) = Sum_{k=0..n-1} 8^k*B(k)*binomial(n,k) where B(k) is the k-th Bernoulli number.at n=5A083012
• a(n)=det(M_n) where M_n is the n X n matrix m(i,j)=1 if sigma(i+j) is odd, 0 otherwise.at n=28A096733
• Coefficients of the A-Rogers-Selberg identity.at n=49A104408
• Expansion of g.f. -x/(1+x-x^3).at n=47A104769
• Triangle T(n,k) read by rows: consider the sequence a(m) = a(m-1) + sum_{0<j<=m/n} a(m-j*n) with a(0)=1. Row n of T(n,k) is formed by the coefficients of the recurrence relation of sequence b(i) = a(n*i).at n=31A113445
• Triangle read by rows: matrix inverse of A110877.at n=32A126126
• Expansion of 8 * eta(q)^7 / eta(q^7) + 49 * (eta(q) * eta(q^7))^3 in powers of q.at n=8A138809
• Numerator of Bernoulli(n, 1/8).at n=5A158653
• Numerator of Bernoulli(n, -3/11).at n=5A159244
• Logarithmic derivative of the q-exponential of x, E_q(x,q), evaluated at q=-x.at n=21A198262
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 469", based on the 5-celled von Neumann neighborhood.at n=13A272419
• Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = sqrt(6)/2.at n=51A279594
• Hankel transform of A033434.at n=49A283439
• G.f. A(x) satisfies A(x) = 1 + x*A(x)/A(-x*A(x))^2.at n=8A385014
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of B(x)^k, where B(x) is the g.f. of A385014.at n=53A385018