A242320 Number of length n+5+2 0..5 arrays with every value 0..5 appearing at least once in every consecutive 5+3 elements, and new values 0..5 introduced in order.

266, 896, 2801, 8231, 23486, 66366, 187671, 533801, 1530356, 4371836, 12472691, 35574971, 101483076, 289556006, 826266561, 2357781941, 6727551746, 19195784876, 54771887681, 156283330211, 445932182766, 1272403116946

Offset

1,1

Comments

Column 5 of A242322.

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) +7*a(n-4) +13*a(n-5) +22*a(n-6) +28*a(n-7) -4*a(n-8) -6*a(n-9) -6*a(n-10) -4*a(n-12) -10*a(n-13) -10*a(n-14) +a(n-16) +a(n-17) +a(n-20) +a(n-21).

Example

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

Crossrefs

Cf. A242322.

Sequence in context: A321224 A028528 A260134 * A225935 A205229 A028523

Adjacent sequences: A242317 A242318 A242319 * A242321 A242322 A242323

Keyword

nonn

Author

R. H. Hardin, May 10 2014

Status

approved