(asthetically) strange sequences and Gaussian Fibonacci integers

creigh at o2online.de creigh at o2online.de
Tue Oct 26 19:17:12 CEST 2004


(asthetically) strange sequences:

Below are two sequences I don't know what to do with.
Superseeker returned nothing (i.e. the standard 1KB) after passing it 17 
terms from posseq.

The sequences are:

posseq: 2, 8, 7, 8, 44, 43, 26, 241, 241, 44, 1249, 1249, 524, 5983, 5983, 7616, 
26107, 27740, 62012, 99529, 135434, 414488, 314959, 605360, 2470556, 2180155, 
2396882 

negseq: -5, -5, -4, -23, -23, -40, -95, -112, -292, -329, -526, -1840, -1511, 
-2236, -10516, -9791, -8158, -57113, -57113, -21208, -306773, -306773, -16372, 
-1525679, -1525679, -1308952 
 
identity: pos + neq = ves  

vesseq: -3, 3, 3, -15, 21, 3, -69, 129, -51, -285, 723, -591, -987, 3747, -4533, 
-2175, 17949, -29373, 4899, 78321 

vesseq(n) =  A087455(n+1) [apart from signs] Type 2 generalized Gaussian Fibonacci 
integers

Anyone see a pattern emerging that would, for example, 
allow one to predict when the next 
posseq(n) = posseq(n+1) or negseq(n) = negseq(n+1)
is scheduled to occur? Lastly, would it be wiser
to wait until more about the sequences are known before submitting them?

Sincerely,
Creighton  http://www.crowdog.de/13829/home.html





More information about the SeqFan mailing list