-1368

Appears in sequences

• Triangle of Lehmer-Comtet numbers of the first kind.at n=37A008296
• A diagonal of A008296.at n=7A045406
• Dirichlet inverse of the Jordan function J_2 (A007434).at n=36A046970
• Sum_{d divides n} d^2*(-1)^bigomega(d), where bigomega(n) = A001222(n).at n=36A076792
• Riordan array ((1-x^2)/(1+3x+x^2),x/(1+3x+x^2)).at n=41A110168
• Triangle read by rows: characteristic polynomials of certain matrices, see Mathematica program.at n=41A124040
• Triangle: No(x, n) = (2*n/x)*No(x, n - 1) + (-n/(n - 2))*No( x, n - 2) + Ceiling[(2*(n - 1)/((n - 2)))*Sin[(n - 1)*Pi/2]]/x; weighted by 2*x^(n + 1).at n=22A137384
• Polynomial expansion sequence : p(x)=1 + x - x^5 + x^9 + x^10.at n=57A143605
• The n-th term of the n-th Dirichlet self-convolution equals n^2.at n=37A163591
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202871; by antidiagonals.at n=17A202872
• Expansion of the unique weight 11/2 Gamma1(4) cusp form in powers of q.at n=32A256552
• a(n) = 1 - n^2.at n=37A258837
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 229", based on the 5-celled von Neumann neighborhood.at n=21A270949
• Riordan array (1/(1-9x)^(1/3), x/(9x-1)).at n=33A283150
• G.f.: Sum_{n=-oo..+oo} n * x^n * (1 - x^n)^n.at n=74A291937
• Coefficients in expansion of (E_6^2/E_4^3)^(1/144).at n=2A296609
• Triangle read by rows, defined by Riordan's general Eulerian recursion: T(n, k) = (k+3)*T(n-1, k) + (n-k-2) * T(n-1, k-1) with T(n,1) = 1, T(n,n) = (-2)^(n-1).at n=16A306547
• (Sum_{t=0..oo} ((-1)^t*(2*t+1)*q^((2*t+1)^2)))^3 * (Sum_{t=0..oo} q^((2*t+1)^2)) = Sum_{k=0..oo} a(k)*q^(8*k+4).at n=29A322031
• Determinant of the matrix d*e/gcd(d, e)^2, where d, e run through the unitary divisors of n.at n=36A367064
• Expansion of g.f. (theta_3(x) - 1)/2 * Product_{n>=1} (1 - x^(4*n-2)) / (1 - x^(4*n)).at n=58A370153