[seqfan] Large Initial Term Skipping Linear Recurrences

Ron Hardin rhhardin at att.net
Fri Feb 17 01:17:41 CET 2012


https://oeis.org/A207297 has a linear recurrence that strikes me as having an 
unusually large skipping of initial terms, as if the problem has to settle down 
until unambiguous structure is available.

The way linear recurrences grow in size is interesting - say for nXk array 
combinatorics.  Some for a(n) blow up hugely in coeffient size and length as k 
increases but continue to exist, as if the information needed were extremely 
complex but derivable; some blow up only slowly and have few terms and small 
coefficients.

That must say something about the combinatoric complexity.

This particular one happens to be unusual in not applying until n is very large, 
though the recurrence is not one of the big ones.



 rhhardin at mindspring.com
rhhardin at att.net (either)




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