A006743, another recurrence,

[Simon Plouffe]

I also have this one

                          2    3                      2
a(n) (-198 + 117 n - 20 n  + n ) = (-180 + 54 n - 4 n ) a(n - 1)

                            2      3
     + (1770 - 907 n + 144 n  - 7 n ) a(n - 2)

                          2      3
     + (888 - 388 n + 52 n  - 2 n ) a(n - 3)

                              2       3
     + (-3264 + 1576 n - 244 n  + 12 n ) a(n - 4)

                              2      3
     + (-2400 + 1120 n - 168 n  + 8 n ) a(n - 5)
======================================================================

lprinted

-a(n)*(-198+117*n-20*n^2+n^3) = 
(-180+54*n-4*n^2)*a(n-1)+(1770-907*n+144*n^2-7*
n^3)*a(n-2)+(888-388*n+52*n^2-2*n^3)*a(n-3)+(-3264+1576*n-244*n^2+12*n^3)*a(n-4
)+(-2400+1120*n-168*n^2+8*n^3)*a(n-5) :



Simon Plouffe