Concerning FAMP program

[creigh at o2online.de]

It is my opinion that "FAMP" (Floretion Algebra Multiplication Program) 
should be extended, improved, and even regularly updated.  
I feel that FAMP holds a cornucopia of beautiful sequences
(including many unknown ones). 

Evidence has been accumulated that the program 
get's interesting for large numbers (for examples, see below)
but my limited programming skills as well as the time I, a part time 
English teacher and physics student, have available to put into the 
project mean that much time will pass before this will ever be 
investigated. Specifically, the Java class MultiplyFlorets (included in 
Jantje.zip at http://www.crowdog.de -> The Floretions) should probably 
make use of the BigDecimal.class (perhaps I've misspelled this) 
available as part of the standard Java library, and not the way I did it,
below:
 public double[] MultiplyFlorets() { 
 double z[] = new double[16]; // To hold result of multiplication
      
// 'i,  'j, 'k, i',  j', k', 'ii', 'jj', 'kk',  'ij',  'ik',  'ji',  'jk',  
'ki',  'kj',  1  x
//  0  1  2  3  4  5   6    7   8     9    10   11    12     13     14   
15  x
 // detemines 'i  only 
 z[0] = ( x[0]*y[15] + x[1]*y[2]   - x[2]*y[1]   - x[3]*y[6]  -  
x[4]*y[9]  - x[5]*y[10]  -x[6]*y[3]  - x[7]*y[14]  + x[8]*y[12]  
- x[9]*y[4]  -  x[10]*y[5] - x[11]*y[13]  -x[12]*y[8] + x[13]*y[11] 
+ x[14]*y[7] + x[15]*y[0] ); 
 // 'i note: #+ = 6, #- = 10

I would be very happy to find a small group of interested people to 
assist me with this. The claim given at  
http://mathforum.org/discuss/sci.math/t/622432
provides one example of why the program should include larger numbers.
Here is another:
 From the options menu, choose "Load Floret's Star".
 Change  B = .5(- 'i + 'j - 'kk' - 'ki' - 'kj' - 1)
(represented by the row to the left of the button "B") to
  B = .5(- 'i + 'j - 'kk' - 'ki' - 'kj' - 3).
Now, enter x= 'i + 'j + i' + j' +'ii' + 'jj' + 'ji' + 'ij' + 1 by marking 
"1's" in
the appropriate boxes next to any button which does not already have 
entries filled in. Pressing button B and then the button for x gives Bx 
and is displayed at the bottom of the screen. Finally, from the pull down
menu, click "vesseq" to give the sequence 
a(n) = ves( (Ex)^n ) (= -17, 27, -117, 1971 ...). The sequences "tesseq", 
"lesseq" and "jesseq"
are related to vesseq by vesseq = jesseq + lesseq + tesseq (termwise 
addition). "lesseq" and "tesseq" must be multiplied by 2 to give an 
integer sequence.  I then went to http://www.btinternet.com/~se16/js/factor.
htm 
to factorize the elements of these sequences and thought "jetzt 
verstehe ich die Welt nicht mehr". The elements quickly 
become to big to see exactly what's happening. It would also be great if
the program could do calculations with fractions without turning them 
into a decimal first.

Sincerely, 
Creighton