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

1,1

Comments

Column 6 of A242322

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)

Example

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

Crossrefs

Sequence in context: A267740 A334408 A254468 * A222342 A246476 A202642

Adjacent sequences: A242318 A242319 A242320 * A242322 A242323 A242324

Keyword

nonn

Author

R. H. Hardin, May 10 2014

Status

approved