Error in A115866

[Alec Mihailovs]

----- Original Message ----- 
From: "David W. Cantrell" <DWCantrell at sigmaxi.net>


> On Saturday, March 03, 2007, "Nick Hobson" <nickh at qbyte.org> wrote:
> 
>> Is there  a recurrence equation for this sequence, analogous to
>> a(-1) = a(0) = 1;  n*a(n) = 3*(2*n-1)*a(n-1) - (n-1)*a(n-2), for
>> A001850 (the 2-dimensional  equivalent sequence)?
> 
> Good question. I don't know. The recurrence I had used is the same as
> yours at the end below.

GFUN gives the following recurrence:

gfun:-listtorec(L,a(n));

                    2      3
  [{(8 + 19 n + 14 n  + 3 n ) a(n)

                             2      3
         + (-54 - 92 n - 51 n  - 9 n ) a(n + 1)

                                  2        3
         + (1771 + 2488 n + 1140 n  + 171 n ) a(n + 2)

                 2                  3
         + (-23 n  - 57 n - 45 - 3 n ) a(n + 3), a(0) = 1, a(2) = 409,

        a(1) = 13}, ogf]

Alec Mihailovs
http://mihailovs.com/Alec/