-2210
domain: Z
Appears in sequences
- Triangle read by rows: matrix 4th power of the Stirling-1 triangle A008275.at n=11A039816
- Dirichlet inverse of sigma_2 function (A001157).at n=46A053822
- a(n) = a(n-1) - 2*a(n-2) - 3*a(n-3) - ... - (n-1)*a(1), with a(1) = a(2) = 2, a(3) = -2.at n=11A106541
- G.f.: A(x) = (x-x^2) o x/(1-x) o (1-sqrt(1-4*x))/2, a composition of functions involving the Catalan function and its inverse.at n=8A120009
- Square table, read by antidiagonals, of coefficients of x^k in the n-th self-composition of the g.f. of A120009, so that: T(n,k) = [x^k] { (x-x^2) o x/(1-n*x) o (1-sqrt(1-4*x))/2 } for n>=1, k>=1.at n=44A120013
- Triangle read by rows: the n-th row consists of the coefficients in the expansion of Sum_{j=0..n} A123162(n,j)*x^j*(1 - x)^(n - j).at n=39A123217
- Dirichlet g.f.: zeta(2*s) / (zeta(s) * zeta(s-2)).at n=46A328639
- a(1) = 1; a(n) = -Sum_{d|n, d < n} A341512(n/d) * a(d), where A341512(n) = sigma(n)*A003961(n) - n*sigma(A003961(n)).at n=51A347096
- Expansion of e.g.f. (log(1 + log(1 + log(1 + log(1+ x)))))^2 / 2.at n=3A351526
- a(n) is the product of all parts in negaFibonacci representation of n.at n=51A356387
- a(n) = Sum_{k=0..n} (-2)^k * |(n - k | k)|, where (a | b) denotes the Kronecker symbol.at n=12A367545