"mixed linear recurrences"
Kimberling, Clark
ck6 at evansville.edu
Mon Nov 4 20:25:00 CET 2002
Let A be a sequence given by initial values a(0) and a(1), and for n>1,
let
a(n) = s*a(n-1) + t*a(n-2) if n is even,
a(n) = u*a(n-1) + v*a(n-2) if n is odd.
(An example is A002531.)
One could call A a "mixed linear recurrence". However, this does not
seem to a standard name.
The question is this: is there a name for such sequences? Does someone
know a reference where such recurrences are discussed - especially for
"order" greater than 2?
Sincerely,
Clark Kimberling
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