superseeker 9,98,516,1870 exact solution.

[Don McDonald]

Prog 9,98,516D,
6th degree polynomial fit, exact fit.
Fixed, I hope.

don.mcdonald. 16.11.02   22:18  *spool.

coefficient  0  5369          = 5369  *(x-5)^0
coefficient  1  5184+7/15     = 5184.46667  *(x-5)^1
coefficient  2  2079-11/180   = 2078.93889  *(x-5)^2
coefficient  3  443+1/6       = 443.166667  *(x-5)^3
coefficient  4  53-1/36       = 52.9722222  *(x-5)^4
coefficient  5  101/30        = 3.36666667  *(x-5)^5
coefficient  6  4/45          = 0.08888889  *(x-5)^6

x-5, yEIS (DATA), predicted,  RESIDual.
-4    9,            9           5.68434189E-14
-3    98,           98          -2.88480351E-12
-2    516,          516         -5.68434189E-13
-1    1870,         1870        -4.54747351E-13
0     5369,         5369        0
1     13132,        13132       -1.8189894E-12
2     28560,        28560       3.63797881E-12
3     56772,        56772       0
4     105105,       105105      0
5     183678,       183678      2.91038305E-11

error is now extremely small , LESS THAN 3e-11.

possibly exact.  BASIC64.
[ not a triangular no. /90].
 fixed.  closed *ram 6polyA.

It took me a lot of trials.
>  grahamwolf.first/ats.Data.don.6polyA
>  grahamwolf.first/ats.Data.don.9,98,516D