# Some INVERT transforms.

John Layman layman at calvin.math.vt.edu
Mon Dec 8 17:33:58 CET 2003

```Antti Karttunen (Dec 8, 2003): ... could you compute for me the following transforms:
INVERT([1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]);

and also this:
INVERT([1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584,4181,6765,10946]);

Me: Here are some results that I obtained using my own ISAP (Integer Sequence Analysis Program), written in Pascal (US denotes the entered USer sequence):

US =1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 (25)
(INV)US = 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 10946
17711 28657 46368 75025 121393 (25)
Iterate Composite Transform (y/n)?
US =1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 (25)
T=(INV); (T^2)US = 1 3 8 22 60 164 448 1224 3344 9136 24960 68192 186304 508992
1390592 3799168 10379520 28357376 77473792 211662336 578272256 1579869184
4316282880 11792304128 32217174016 (25)

This indicates that (INV){1,1,0,0,0,0,0,...} is indeed the Fibonacci seq. and that   (INV)(INV){1,1,0,0,0,0,0,0,...}
=(INV){1,2,3,5,8,13,21,34,55,...} is A028859

John

```