A236868 Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock equal

81, 287, 1069, 4131, 16153, 63867, 253269, 1008347, 4017129, 16029051, 63964053, 255428971, 1020001673, 4074620555, 16277074485, 65036521755, 259868094441, 1038512291675, 4150437015637, 16589196684619, 66311024500553

Offset

1,1

Comments

Column 1 of A236875

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +13*a(n-2) -169*a(n-3) +51*a(n-4) +1481*a(n-5) -1425*a(n-6) -5803*a(n-7) +7222*a(n-8) +10368*a(n-9) -14764*a(n-10) -7052*a(n-11) +12456*a(n-12) +464*a(n-13) -3232*a(n-14) +128*a(n-15) +256*a(n-16)

Example

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

Crossrefs

Sequence in context: A236809 A236802 A236875 * A237375 A237368 A017078

Adjacent sequences: A236865 A236866 A236867 * A236869 A236870 A236871

Keyword

nonn

Author

R. H. Hardin, Feb 01 2014

Status

approved