A249704 Number of length n+3 0..5 arrays with every four consecutive terms having the maximum of some two terms equal to the minimum of the remaining two terms

366, 966, 2524, 6172, 13666, 32500, 80360, 198164, 474302, 1140694, 2782978, 6829394, 16652268, 40525818, 98972744, 242571962, 594328514, 1454961448, 3564476384, 8746203338, 21475833432, 52737244176, 129543959312, 318439317418

Offset

1,1

Comments

Column 5 of A249707

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -3*a(n-2) +a(n-3) +45*a(n-4) -80*a(n-5) +35*a(n-6) -757*a(n-8) +513*a(n-9) +28*a(n-10) +28*a(n-11) +6071*a(n-12) +1434*a(n-13) +314*a(n-14) -486*a(n-15) -26788*a(n-16) -25212*a(n-17) -13792*a(n-18) -4416*a(n-19) +68776*a(n-20) +102232*a(n-21) +67200*a(n-22) +29760*a(n-23) -93984*a(n-24) -186624*a(n-25) -130176*a(n-26) -43776*a(n-27) +69120*a(n-28) +138240*a(n-29) +69120*a(n-30)

Example

Some solutions for n=6
..1....3....2....5....0....1....2....2....0....2....5....1....4....2....0....2
..1....1....3....4....4....5....4....3....4....3....2....2....4....2....5....4
..3....3....3....4....5....1....2....5....5....0....1....4....3....2....4....1
..1....3....3....4....4....0....0....3....4....2....2....2....5....0....4....2
..0....3....3....4....3....1....2....3....4....2....3....2....4....2....1....2
..1....3....3....4....4....3....5....3....4....5....2....2....4....4....4....2
..5....2....4....0....4....1....2....3....4....2....2....2....1....2....4....2
..1....4....1....5....5....1....0....1....4....0....2....4....5....0....5....0
..0....3....3....4....1....0....2....4....3....2....3....1....4....2....2....3

Crossrefs

Sequence in context: A219960 A033174 A350471 * A260281 A325847 A279982

Adjacent sequences: A249701 A249702 A249703 * A249705 A249706 A249707

Keyword

nonn

Author

R. H. Hardin, Nov 04 2014

Status

approved