Superseeker error?

[Creighton Dement]

Hi Niel, 

I should have mentioned that I was referring to the first of the two
headers. The first header is :

TEST: APPLY VARIOUS TRANSFORMATIONS TO SEQUENCE AND LOOK IT
UP IN THE ENCYCLOPEDIA AGAIN

under which I get the following match:

Transformation T020 gave a match with:
%I A003500 M1278
%S A003500
2,4,14,52,194,724,2702,10084,37634,140452,524174,1956244,7300802,
 
The second header is 

TEST: APPLY VARIOUS TRANSFORMATIONS TO SEQUENCE AND
CHECK AGAINST FIRST DIFFERENCES OF SEQUENCES IN OEIS

T020  sequence u[j+3]-3*u[j+2]-3*u[j+1]+u[j]

which gives the match you are refering to. I stopped everything when I
saw the above- including checking for your match from further down the
page.  

Sincerely, 
Creighton 

*******

Niel wrote:

 There is no error.  Creighton, you submitted this sequence:
[ 0,1,3,10,36,133,495,1846,6888,25705,95931,358018,1336140]
Here are the first, second and third differences:
> DIFF(%);                                                        
                 [1, 2, 7, 26, 97, 362, 1351, 5042, 18817, 70226,
262087, 978122]

> DIFF(%);
                   [1, 5, 19, 71, 265, 989, 3691, 13775, 51409, 191861,
716035]

> DIFF(%);
                    [4, 14, 52, 194, 724, 2702, 10084, 37634, 140452,
524174]
The latter sequence does match A003500, just
as Superseeker says:

Transformation T020 gave a match with:
%I A003500 M1278
%S A003500
2,4,14,52,194,724,2702,10084,37634,140452,524174,1956244,7300802,
%T A003500
27246964,101687054,379501252,1416317954,5285770564,19726764302,
%U A003500
73621286644,274758382274,1025412242452,3826890587534,14282150107684
%N A003500 a(n) = 4a(n-1) - a(n-2).


-- Sonja is bigger than me and I am bigger than Sonja! (my 3-year-old
daughter expressing that she and her friend Sonja are exactly the same
height)