[math-fun] Possible linear recurrence

Here's a question about possible linear recurrence for A296220, which gives the solution of the complementary equation a(n) = a(0)*b(n-1) + a(1)*b(n-2), where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. In the Formula section, it is conjectured that a(n) = a(n-1) + a(n-7) - a(n-8) for n > 20. However, that sequence (using the same a(0),...a(20) as A296220) includes 244, but A296220 doesn't. So, the question is, does A296220 satisfy some other recurrence? Best wishes for the new year! Clark Kimberling