-593

Appears in sequences

• Expansion of e.g.f.: log(sec(x)-log(x+1))=-1*x+1/2*x^2+1/3*x^3+3/8*x^4+7/120*x^5-1/240*x^6-593/5040*x^7-37/960*x^8+...at n=7A013500
• From an asymptotic expansion for Pi.at n=7A019267
• a(n) = 2^n-n^4.at n=5A024014
• a(0) = 1, a(1) = 2, a(3) = 3, a(n) = a(n-1) - a(n-3).at n=49A165192
• a(n) = 1 + 3*n - 2*n^2.at n=18A168244
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max{i(j+1-1),j(i+1)-1} (A203998).at n=22A203999
• Numerators of the series expansion of the ground-state energy of the Hubbard model in the limits of strong coupling and infinite dimensions.at n=3A226584
• Values of n such that L(4) and N(4) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=8A226924
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 278", based on the 5-celled von Neumann neighborhood.at n=25A271098
• Expansion of (1-q)^k/Product_{j=1..k} (1-q^j) for k=8.at n=31A275642
• Triangle T(n, m) appearing in the expansion of the scaled phase space coordinate qhat of the plane pendulum in terms of the Jacobi nome q and sin(v) multiplying even powers of 2*cos(v), with v = u/((2/Pi)*K(k)).at n=11A275790
• Expansion of Product_{k>=0} (1-x^(3*k+1))^(3*k+1).at n=21A285050
• Expansion of Product_{k>=1} (1+x^k)^((-1)^k*k^2).at n=7A307462
• a(n) = -n^2 + 21*n - 1.at n=36A332884
• Coefficients in the power series expansion of A(x) = Sum_{n=-oo..+oo} n*(n+1)*(n+2)*(n+3)/24 * x^(4*n) * (1 - x^n)^(n-2).at n=26A357157