-404

Appears in sequences

• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 4.at n=39A060023
• a(1) = 1, a(2n) = a(2n-1) + c(n) and a(2n+1) = a(2n) - p(n), where c(n)=A002808(n) and p(n)=A000040(n) are the n-th composite and n-th prime numbers, respectively.at n=46A073891
• Triangle read by rows giving coefficients in Bernoulli polynomials as defined in A001898, after multiplication by the common denominators A001898(n).at n=48A100655
• a(n) = 1 + 3*n - 2*n^2.at n=15A168244
• Expansion of theta_4/theta_3 in powers of q.at n=9A189925
• Expansion of (phi(-q) / phi(q^2))^2 in powers of q where phi() is a Ramanujan theta function.at n=9A210067
• Choose smallest m>0 such that the n-th rational prime p ramifies in the imaginary quadratic extension field K = Q(sqrt(-m)); a(n) = discriminant(K).at n=25A220861
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 294", based on the 5-celled von Neumann neighborhood.at n=37A271135
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 419", based on the 5-celled von Neumann neighborhood.at n=15A272048
• Expansion of q^(-2/5) * (r(q^2) - r(q)^2) / 2 in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=42A285554
• a(n) = [x^n] Product_{k=1..n} (1 - (n - k + 1)*x^k).at n=8A303189
• Expansion of Product_{k>=1} (1 - p(k)*x^k), where p(k) = number of partitions of k (A000041).at n=20A304785
• Expansion of Product_{k>0} (-1+sqrt(1+4*x^k))/(2*x^k).at n=7A327682
• Expansion of B(x)^2, where B(x) is the g.f. of A230322.at n=52A373121