-1056

Appears in sequences

• Coefficients in expansion of Eisenstein series E_2 (also called E_1 or G_2).at n=43A006352
• Shifts left when Moebius transformation applied twice.at n=42A007551
• Expansion of tan(x)/(1+x).at n=6A009753
• arcsinh(arctan(arcsin(x)))=x-2/3!*x^3+32/5!*x^5-1056/7!*x^7+77696/9!*x^9...at n=3A012198
• Reciprocal Chebyshev polynomial of second kind evaluated at 4 multiplied by (-1)^n.at n=5A025171
• Expansion of q^(-1/2) * (eta(q) * eta(q^2))^4 in powers of q.at n=38A030211
• Sum at 45 degrees to horizontal in triangle of A081498.at n=42A081499
• Expansion of theta_4(q)^4 - theta_2(q)^4, where theta_2 and theta_4 are the Jacobi theta series.at n=43A103640
• Coefficient table for sums over product of adjacent Chebyshev S-polynomials.at n=49A128497
• Irregular triangle, read by rows: T(n, k) = [x^k]( y(n, x) ), where y(n, x) = - 2*y(3, x) - x*y(n-1, x) + 2*x^2*y(n-1, x) + x^2*y(n-2, x), and y(1, x) = -8 - 3*x + 8*x^2, y(2, x) = 4 - 4*x - 10*x^2 + 4*x^3 + 4*x^4, y(3, x) = -8 + 4*x + 24*x^2 - 9*x^3 - 24*x^4 + 4*x^5 + 8*x^6.at n=75A131641
• Expansion of (phi(x) * psi(-x))^4 in powers of x where phi(), psi() are Ramanujan theta functions.at n=38A134461
• Triangular sequence of coefficients of a polynomial recursion for C_n and B_n Cartan matrices: p(x, n) = (-2 + x)*p(x, n - 1) - p(x, n - 2) p(x,n)=x2-4*x+4-m:m=4;(related sequence: A_n:m=1,G_n,m=3,B_n,C_n,m=2) This triangular sequence is an extension to the Cartan pattern of matrices.at n=58A136329
• Triangle T(n,k) read by rows: coefficient [x^k] of the polynomial p(n,x) with p(0,x) = 1, p(1,x) = 2 - x, p(2,x) = 1 - 4*x + x^2 and p(n,x) = (2-x)*p(n-1,x) - p(n-2,x) if n>2.at n=48A136674
• A000145(n) / 8 - (n^5 + 1).at n=7A188671
• Triangle of coefficients of polynomials concerning Newman-like phenomenon of multiples of b+1 in even base b in interval [0,b^n) (see comment).at n=34A212822
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 165", based on the 5-celled von Neumann neighborhood.at n=19A270460
• a(n) = (-1)^n*(n + 1)*(5*n^2 + 10*n + 1).at n=5A271532
• Start with 2, then successively subtract the primes 3, 5, 7, ...at n=24A282329
• Triangle read by rows, T(n, k) = [x^k](Sum_{k=0..n}(-1)^(n-k)*Stirling2(n, k)*k!* x^k)^2, for 0 <= k <= 2n.at n=21A290696
• a(n) = (2*n)! * [x^(2*n)] arctan(x / sqrt(2))^2.at n=4A356901