-333

Appears in sequences

• Expansion of (1-x)/(1-2*x+x^2+x^3).at n=19A078001
• Expansion of (1-x)/(1 + x^2 - x^3).at n=36A078031
• Sequence is {a(5,n)}, where a(m,n) is defined at sequence A110665.at n=9A110670
• G.f.: (x^3+6*x+2)^2/(x^2+x+1)^2.at n=36A115054
• G.f.: (x^3+6*x+2)^2/(x^2+x+1)^2.at n=38A115054
• Triangle of coefficients of Faber polynomials for (3*x - sqrt(x^2 - 4*x))/2.at n=47A226952
• Difference between sums of quadratic residues and non-residues modulo n (residues are not necessarily coprime to n).at n=53A255644
• Array of higher-order differences of the sequence (-1)^n*A000111(n) read by downward antidiagonals.at n=29A261880
• a(0) = 0; a(odd n) = 2n+1; a(even n) = a(n/2 - a(n-1)).at n=50A267363
• G.f.: Re((i*x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1).at n=50A292042
• Numbers k such that 4*k + 1 is a perfect cube, sorted by absolute values.at n=5A305290
• Expansion of Product_{k>=1} 1/(1 + x^k/(1 + x^(2*k))).at n=64A307757
• Inverse Euler transform of Thue-Morse sequence A001285.at n=22A316149
• A Seidel matrix A(n,k) read by antidiagonals upwards.at n=29A323833
• A Seidel matrix A(n,k) read by antidiagonals upwards.at n=34A323833
• Expansion of Product_{k>=1} 1 / (1 + mu(k)^2 * x^k).at n=49A329069
• G.f.: x / (Sum_{k>=1} x^k / (1 + x^k)^2).at n=10A335228
• E.g.f. A(x) satisfies A(x) = 1 + 3 * log(1+x) * A(log(1+x)).at n=5A355097
• a(n) = Sum_{k=0..n} (-1)^(n-k) * Stirling2(n,k) * Catalan(k).at n=8A355290