A254692 Number of length n+4 0..2 arrays with every five consecutive terms having the maximum of some two terms equal to the minimum of the remaining three terms

133, 267, 552, 1140, 2310, 4542, 9106, 18498, 37742, 77010, 156546, 318427, 649407, 1326877, 2713484, 5550992, 11360343, 23266909, 47691587, 97820467, 200754359, 412222139, 846895302, 1740851986, 3580251228, 7366679989, 15164514943

Offset

1,1

Comments

Column 2 of A254698

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) +4*a(n-3) -6*a(n-4) +26*a(n-5) -43*a(n-6) +21*a(n-7) -55*a(n-8) +59*a(n-9) -217*a(n-10) +185*a(n-11) -38*a(n-12) +350*a(n-13) -150*a(n-14) +899*a(n-15) -152*a(n-16) +101*a(n-17) -1001*a(n-18) -108*a(n-19) -2159*a(n-20) -958*a(n-21) -492*a(n-22) +1151*a(n-23) +783*a(n-24) +3028*a(n-25) +2869*a(n-26) +1191*a(n-27) -124*a(n-28) -1084*a(n-29) -2384*a(n-30) -3108*a(n-31) -1346*a(n-32) -484*a(n-33) +650*a(n-34) +1038*a(n-35) +1603*a(n-36) +792*a(n-37) +200*a(n-38) -166*a(n-39) -262*a(n-40) -472*a(n-41) -236*a(n-42) +8*a(n-43) -64*a(n-44) +64*a(n-45) +64*a(n-46) +48*a(n-47) +32*a(n-49)

Example

Some solutions for n=10
..2....2....0....0....1....0....1....2....0....2....1....1....1....2....2....1
..1....0....1....1....2....0....0....0....0....1....1....0....0....2....1....1
..2....0....0....2....0....2....1....1....0....0....2....1....1....1....1....2
..1....0....0....1....1....0....1....1....1....2....1....1....2....1....1....0
..0....0....0....2....1....0....2....2....0....1....1....1....1....1....2....2
..1....0....2....1....2....0....1....1....0....2....1....1....2....1....1....1
..1....0....0....1....1....2....2....2....0....1....1....0....0....2....2....1
..1....2....0....2....1....0....1....0....0....1....2....1....1....0....1....2
..1....1....0....0....2....0....1....1....0....1....1....2....1....2....1....1
..1....0....2....2....1....0....0....2....2....1....1....1....1....1....2....1
..0....0....0....1....1....0....2....1....1....1....1....1....1....1....1....1
..1....0....1....1....2....2....1....1....0....1....2....1....2....2....1....1
..2....1....0....2....0....0....1....0....0....2....0....2....1....0....0....0
..1....2....0....1....2....0....1....1....0....2....1....1....1....2....1....2

Crossrefs

Sequence in context: A123997 A316630 A250766 * A050882 A146233 A146181

Adjacent sequences: A254689 A254690 A254691 * A254693 A254694 A254695

Keyword

nonn

Author

R. H. Hardin, Feb 05 2015

Status

approved