cp's OEIS Frontend

A242546 Number of length n+3 0..5 arrays with no four elements in a row with pattern aabb (possibly a=b) and new values 0..5 introduced in 0..5 order.

%I A242546 #6 Jul 23 2025 11:17:20
%S A242546 13,43,166,711,3311,16512,86671,471698,2631790,14930915,85644696,
%T A242546 494803149,2872024482,16720674459,97536295951,569673328615,
%U A242546 3329960486206,19475149500576,113938441220822,666738150322630,3902133809773705
%N A242546 Number of length n+3 0..5 arrays with no four elements in a row with pattern aabb (possibly a=b) and new values 0..5 introduced in 0..5 order.
%C A242546 Column 5 of A242549
%H A242546 R. H. Hardin, <a href="/A242546/b242546.txt">Table of n, a(n) for n = 1..210</a>
%F A242546 Empirical: a(n) = 11*a(n-1) -41*a(n-2) +100*a(n-3) -259*a(n-4) +283*a(n-5) -178*a(n-6) +383*a(n-7) +1393*a(n-8) +312*a(n-9) +723*a(n-10) -1707*a(n-11) -5129*a(n-12) -5430*a(n-13) -5400*a(n-14) -3600*a(n-15) -900*a(n-16)
%e A242546 Some solutions for n=4
%e A242546 ..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
%e A242546 ..1....1....1....1....1....1....1....0....1....1....0....0....1....1....0....1
%e A242546 ..2....0....0....0....0....1....0....1....1....0....0....1....2....2....1....2
%e A242546 ..1....0....1....2....2....2....2....2....2....1....1....0....2....3....2....3
%e A242546 ..0....1....0....0....0....3....0....0....0....2....2....2....3....1....1....0
%e A242546 ..2....2....0....1....1....0....3....0....3....0....3....2....1....1....2....4
%e A242546 ..1....2....1....3....0....0....4....3....3....2....3....2....2....1....2....1
%K A242546 nonn
%O A242546 1,1
%A A242546 _R. H. Hardin_, May 17 2014