A237773 Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

300, 1456, 7220, 34738, 168120, 843310, 4176684, 20234876, 98488592, 490709904, 2423229752, 11787571072, 57592668148, 285613778928, 1407652995368, 6867790813994, 33631458148732, 166268484651892, 818421568319140

Offset

1,1

Comments

Column 2 of A237779

Links

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

Formula

Empirical: a(n) = 16*a(n-3) +421*a(n-4) +284*a(n-5) +499*a(n-6) +1042*a(n-7) -2558*a(n-8) +328*a(n-9) -1384*a(n-10) -3450*a(n-11) +5485*a(n-12) +222*a(n-13) +384*a(n-14) -2174*a(n-15) +305*a(n-16) +252*a(n-17) +36*a(n-18) +64*a(n-19) -16*a(n-20) for n>22

Example

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

Crossrefs

Sequence in context: A154061 A253650 A054026 * A188252 A128391 A328132

Adjacent sequences: A237770 A237771 A237772 * A237774 A237775 A237776

Keyword

nonn

Author

R. H. Hardin, Feb 13 2014

Status

approved