-390

Appears in sequences

• Expansion of Product_{k >= 1} (1 - x^k)^6.at n=49A000729
• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^6 in powers of x.at n=32A001484
• From fundamental unit of Z[ (-n)^{1/4} ].at n=34A006829
• Expansion of e.g.f. cosh(log(1+x)/exp(x)).at n=5A009139
• McKay-Thompson series of class 14b for Monster.at n=50A058506
• Triangle, read by rows, equal to the matrix inverse of A056241, which is formed from the even-indexed trinomial coefficients.at n=17A104027
• a(n) = -n^2 - n + 72.at n=21A110678
• Triangle read by rows: The n-th derivative of the logistic function written in terms of y, where y = 1/(1 + exp(-x)).at n=18A163626
• Irregular triangle with the terms in the Staudt-Clausen theorem for the nonzero Bernoulli numbers multiplied by the product of the associated primes.at n=26A165908
• Expansion of psi(-x)^6 in powers of x where psi() is a Ramanujan theta function.at n=13A213791
• Expansion of k(q)^3 * k'(q)^2 * (K(q) / (Pi/2))^6 / 64 in powers of q where k(), k'(), K() are Jacobi elliptic functions.at n=31A225872
• Triangle read by rows: the negative terms of A163626.at n=7A245602
• Expansion of f(x^3, x^5) / f(x, x^3) in powers of x where f(, ) is Ramanujan's general theta function.at n=43A258741
• Expansion of 3 * q * b(q^9)^3 / c(q^3) in powers of q^3 where b(), c() are cubic AGM theta functions.at n=35A279005
• The arithmetic function uhat(n,1,8).at n=64A291502
• Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: Product_{j>0} (1-j^k*x^j)^(1/j).at n=39A294616
• Solution to a(1) = 1 and Sum_y Product_i a(y_i) = 0 for each n > 1, where the sum is over all relatively prime or monic partitions of n.at n=58A302917
• Expansion of Product_{k>=1} (1 - x^k/(1 + x)).at n=21A307601
• Triangle read by rows: T(0,0) = 1; T(n,k) = 2 T(n-1,k) - 3 T(n-1,k-1) + T(n-1,k-2) for k = 0..2n; T(n,k)=0 for n or k < 0.at n=32A318685
• Product_{n>=1} 1 / (1 - a(n)*x^n) = 1 + x + Sum_{n>=2} prime(n-1)*x^n.at n=39A353951