A242321 Number of length n+6+2 0..6 arrays with every value 0..6 appearing at least once in every consecutive 6+3 elements, and new values 0..6 introduced in order.

462, 1638, 5334, 16194, 47466, 137166, 395166, 1141290, 3312546, 9669270, 28147842, 81849030, 237928206, 691657866, 2010909066, 5847101166, 17002342422, 49439204898, 143753422386, 417985825410, 1215362762970, 3533881164654

Offset: 1

Author

R. H. Hardin, May 10 2014

Keywords

• nonn

Comments

Column 6 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....0....1....1....0....1....1....1....1....0....0....1....1....1....1
..0....2....1....2....2....1....2....0....2....2....0....1....2....2....2....0
..2....3....2....3....0....2....0....2....3....3....1....2....0....3....3....2
..3....4....3....0....3....3....3....2....4....4....2....3....3....2....4....3
..4....3....4....4....4....1....2....3....5....0....3....4....4....4....5....4
..1....5....2....2....5....4....4....4....6....1....4....2....5....5....6....2
..5....1....5....5....6....5....5....5....0....5....5....5....1....6....2....5
..6....6....6....6....0....6....6....6....1....6....6....6....6....1....1....6
..0....0....0....3....1....0....2....4....2....2....1....1....2....0....0....3
..2....2....5....1....2....2....1....1....5....3....0....0....5....3....3....1
..3....4....1....1....2....1....1....0....3....5....6....5....5....6....3....0
..5....4....0....1....4....2....0....0....5....2....4....0....0....5....3....1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..63

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +4*a(n-3) +8*a(n-4) +14*a(n-5) +26*a(n-6) +44*a(n-7) +56*a(n-8) -11*a(n-9) -19*a(n-10) -28*a(n-11) -28*a(n-12) -8*a(n-14) -20*a(n-15) -20*a(n-16) +5*a(n-18) +11*a(n-19) +10*a(n-20) +2*a(n-23) +2*a(n-24) -a(n-27) -a(n-28)