-1715

Appears in sequences

• Expansion of 1/((1+x)^7 - x^7).at n=7A049018
• Expansion of (1+x^2)/(1+x^2+x^5).at n=52A088002
• Matrix log of triangle A111830, which shifts columns left and up under matrix 7th power; these terms are the result of multiplying each element in row n and column k by (n-k)!.at n=18A111833
• Triangle T(n, k) = k^4 - n^4 + 2*k*n*(1 - k^2*n^2), read by rows.at n=22A123963
• a(n) = 13 + 12*n - n^2.at n=48A136316
• In general, let A(n,k,m) denote the (n,k)-th entry of the inverse of the matrix consisting of the (n,k)-th m-restrained Stirling numbers of the second kind (-1)^(n-k) times the number of permutations of an n-set with k disjoint cycles of length less than or equal to m, as the (n+1,k+1)-th entry. The sequence shows A(n,k,3), which is a lower triangular matrix, read by rows.at n=23A171998
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 449", based on the 5-celled von Neumann neighborhood.at n=29A272255
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 465", based on the 5-celled von Neumann neighborhood.at n=33A272317
• Numbers k such that 4*k + 1 is a perfect cube, sorted by absolute values.at n=9A305290
• a(n) = Sum_{k=0..floor(n/7)} (-1)^k*binomial(n,7*k).at n=13A307041
• Coefficient of x of the OmegaPolynomials (A318146), T(n, k) = [x] P(n, k) with n>=1 and k>=0, square array read by ascending antidiagonals.at n=38A318253
• First term of n-th difference sequence of (floor(k*r)), r = sqrt(1/3), k >= 0.at n=13A325730
• First term of n-th difference sequence of (floor(k*r)), r = sqrt(3/4), k >= 0.at n=13A325732
• First term of n-th difference sequence of (floor(k*e)), k >= 0.at n=13A325734
• First term of n-th difference sequence of (floor(2e*k)), k >= 0.at n=13A325736
• First term of n-th difference sequence of (floor(e*k/(e-1))), k >= 0.at n=13A325749
• Values z of primitive solutions (x, y, z) to the Diophantine equation x^3 + y^3 + 2*z^3 = 2*4^6.at n=25A336449
• Expansion of g.f. A(x) = Sum_{n=-oo..+oo} x^n * (i + x^n)^(2*n), where i^2 = -1.at n=52A363569