A242319 Number of length n+4+2 0..4 arrays with every value 0..4 appearing at least once in every consecutive 4+3 elements, and new values 0..4 introduced in order.

140, 440, 1300, 3648, 10012, 27368, 75236, 208976, 577964, 1596216, 4408020, 12176768, 33645500, 92967176, 256849892, 709617776, 1960543660, 5416680632, 14965468916, 41347189280, 114235439996, 315613828040, 871989852740

Offset: 1

Author

R. H. Hardin, May 10 2014

Keywords

• nonn

Comments

Column 4 of A242322

Examples

			Some solutions for n=5
..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....1....0....0....1....1....1
..0....2....2....2....0....0....1....1....2....2....2....1....1....0....2....2
..2....1....2....3....2....2....2....2....3....2....0....2....2....2....0....0
..3....3....3....3....3....3....3....2....1....3....3....1....0....3....3....3
..2....0....4....0....4....0....4....3....4....4....4....3....3....2....4....1
..4....4....1....4....0....4....0....4....0....1....1....4....4....4....1....4
..3....1....0....2....0....1....2....0....3....0....0....2....1....1....2....0
..1....2....2....1....1....2....1....1....2....1....2....0....2....0....0....0
..0....2....0....4....2....0....2....2....1....2....3....4....2....0....1....2
..3....1....4....4....0....3....4....3....1....4....0....1....4....4....4....3
		

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +4*a(n-3) +6*a(n-4) +10*a(n-5) +12*a(n-6) -4*a(n-7) -6*a(n-8) -6*a(n-9) -2*a(n-11) -2*a(n-12) +a(n-14) +a(n-15)