-903
domain: Z
Appears in sequences
- Expansion of e.g.f. cos(tanh(x)/cos(x)), even powers only.at n=4A009095
- Expansion of exp(tan(x)/cosh(x)).at n=8A009254
- E.g.f.: cos(sinh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-11/4!*x^4+10/5!*x^5...at n=7A013018
- a(n) = 11^n - n^10.at n=2A024137
- a(n) = (n-1)*(n+3) - 2^n + 4.at n=10A071099
- Riordan array ((1-x+sqrt(1-6x+x^2))/2, (1+x-sqrt(1-6x+x^2))/4).at n=37A117354
- a(n) = mu(n) * A000217(n).at n=41A125287
- a(n)=A132658(n+1)-2*A132658(n).at n=13A154352
- a(n)=A132658(n+1)-2*A132658(n).at n=14A154352
- a(n) = (a(n-1) * a(n-3) + (-1)^n * a(n-2)^2) / a(n-4), with a(0) = 0, a(1) = -1, a(2) = a(3) = a(4) = 1, a(9) = 3.at n=23A247369
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 105", based on the 5-celled von Neumann neighborhood.at n=17A270163
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 161", based on the 5-celled von Neumann neighborhood.at n=23A270453
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 361", based on the 5-celled von Neumann neighborhood.at n=17A271417
- Let f(x) = 1 -x^3+ Sum_{j>=2} (x^(2^j)-x^(1+2^j)). Then a(n) is n times the coefficient of x^n in the expansion of log(f(x)).at n=42A271726
- Dirichlet g.f.: zeta(s-1) / (zeta(s) * zeta(s-2)).at n=41A328502
- Coefficients in the power series expansion of A(x) = Sum_{n=-oo..+oo} n*(n+1)/2 * x^(2*n) * (1 - x^n)^(n-2).at n=28A356775
- Expansion of Sum_{k>0} x^(2*k)/(1+x^k)^3.at n=42A363022