-1199
domain: Z
Appears in sequences
- Real part of (1 + 2*i)^n, where i is sqrt(-1).at n=9A006495
- Expansion of 1/(1 - 4*x + 5*x^2).at n=8A099456
- Diagonal sums of triangle A110324.at n=48A110326
- Triangle T, read by rows, equal to the matrix product T = H*[C^-1]*H, where H is the self-inverse triangle A118433 and C is Pascal's triangle.at n=45A118435
- Column 0 of triangle A118435.at n=9A118436
- Row sums of triangle A161363.at n=24A161375
- Triangle T(n,k) read by rows: the real part of the coefficient [x^k] of (1-x)^(n+1) * Sum_{s>=0} ((2*s + 1 + 2*i)^n)*x^s, where i is the imaginary unit.at n=45A179087
- Triangle T(n,k) read by rows: the real part of the coefficient [x^k] of (1-x)^(n+1) * Sum_{s>=0} ((2*s + 1 + 2*i)^n)*x^s, where i is the imaginary unit.at n=54A179087
- Second differences of A000463; first differences of A188652.at n=48A188653
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 406", based on the 5-celled von Neumann neighborhood.at n=43A271888
- Triangle read by rows: T(n,k) = (-2)*T(n-1,k-1) + T(n,k-1) with T(2*m,0) = 0 and T(2*m+1,0) = (-1)^m.at n=54A292495
- G.f.: 1 + Sum_{n=-oo..+oo, n<>0} (x - x^n)^n / (1 - (x - x^n)^n).at n=15A294677
- a(n) = Sum_{k=0..floor(n/8)} (-1)^k * binomial(n-4*k,4*k).at n=19A348309
- Coefficients in the power series expansion of A(x) = Sum_{n=-oo..+oo} n * x^n * (1 - x^n)^(n-2).at n=31A356774