A249705 Number of length n+3 0..6 arrays with every four consecutive terms having the maximum of some two terms equal to the minimum of the remaining two terms

595, 1729, 4893, 12789, 29673, 75495, 200489, 528755, 1341901, 3434085, 8949133, 23454657, 60890031, 157756415, 410782645, 1074162701, 2805580083, 7318553467, 19112582503, 50014143783, 130956449801, 342843638551, 897866650281

Offset

1,1

Comments

Column 6 of A249707

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -3*a(n-2) -5*a(n-3) +77*a(n-4) -188*a(n-5) -44*a(n-6) +328*a(n-7) -2041*a(n-8) +2681*a(n-9) +4824*a(n-10) -4044*a(n-11) +25336*a(n-12) -7463*a(n-13) -80625*a(n-14) -21968*a(n-15) -198280*a(n-16) -135500*a(n-17) +551797*a(n-18) +646315*a(n-19) +1307173*a(n-20) +1558772*a(n-21) -1777441*a(n-22) -4439396*a(n-23) -6651096*a(n-24) -8197360*a(n-25) +1807976*a(n-26) +15419208*a(n-27) +21844724*a(n-28) +23090640*a(n-29) +3731760*a(n-30) -28712880*a(n-31) -41155200*a(n-32) -32803200*a(n-33) -6163200*a(n-34) +27648000*a(n-35) +31104000*a(n-36) +10368000*a(n-37)

Example

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

Crossrefs

Sequence in context: A200434 A241876 A252534 * A197647 A321012 A238034

Adjacent sequences: A249702 A249703 A249704 * A249706 A249707 A249708

Keyword

nonn

Author

R. H. Hardin, Nov 04 2014

Status

approved