[seqfan] Re: question about linear recurrence formulas

[Peter Lawrence]

Turns out they are Hankel matrices !

Previously I asked about putting elements of a linear recurrence sequence into a matrix:

| So I plugged this into an online simultaneous linear equation solver
| 	1  1  1   1   1    2
| 	1  1  1   1   2    5
|	1  1  1   2   5   11
|	1  1  2   5  11   21
|	1  2  5  11  21   36
|
| And got this output (1, 0, 1, -3, 3)
| So the linear recurrence would be A(n) = 3A(n-1) - 3A(n-2) + A(n-3) + A(n-5),

And by an odd coincidence this months American Mathematical Monthly has an article
“On the limiting behavior of solutions of linear difference equations”
In which this type of matrix (and its determinant) appears

-Peter.