-2072

Appears in sequences

• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^7 in powers of x.at n=35A001485
• E.g.f. log(1+x)*cos(x).at n=8A009410
• Expansion of e.g.f.: log(1+x)/cosh(x).at n=8A009435
• Riordan array (1/(1+2*x), x*(1+x)/(1+2*x)^2).at n=30A123876
• Triangle, read by rows, T(n,k,q) = c(k,q) + c(n-k,q) - c(n, q) where c(n,q) = Product_{j=1..n-1} ((q^(j+1) - 1)/(q-1)) and q = 3.at n=12A172092
• Expansion of theta_4/theta_3 in powers of q.at n=13A189925
• Expansion of (phi(-q) / phi(q^2))^2 in powers of q where phi() is a Ramanujan theta function.at n=13A210067
• The (n+1)-th term of the n-th differences of the prime sequence.at n=13A229061
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 299", based on the 5-celled von Neumann neighborhood.at n=27A271155
• a(n) = Sum_{k=0..n} (-1)^(n - k) * binomial(n, k) * binomial(n + k - 1, n - k).at n=9A350290