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.

13, 43, 166, 711, 3311, 16512, 86671, 471698, 2631790, 14930915, 85644696, 494803149, 2872024482, 16720674459, 97536295951, 569673328615, 3329960486206, 19475149500576, 113938441220822, 666738150322630, 3902133809773705

Offset: 1

Author

R. H. Hardin, May 17 2014

Keywords

• nonn

Comments

Column 5 of A242549

Examples

			Some solutions for n=4
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....1....1....1....1....1....0....1....1....0....0....1....1....0....1
..2....0....0....0....0....1....0....1....1....0....0....1....2....2....1....2
..1....0....1....2....2....2....2....2....2....1....1....0....2....3....2....3
..0....1....0....0....0....3....0....0....0....2....2....2....3....1....1....0
..2....2....0....1....1....0....3....0....3....0....3....2....1....1....2....4
..1....2....1....3....0....0....4....3....3....2....3....2....2....1....2....1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

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)