A237319 Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

1508, 12756, 107572, 949596, 8219232, 69761476, 591728030, 5221400304, 45243325970, 385224702840, 3278469369768, 28912413134488, 250838050990430, 2142369322671848, 18290968147649740, 161215992846170104

Offset

1,1

Comments

Column 3 of A237324

Links

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

Formula

Empirical: a(n) = 11007*a(n-4) -30511165*a(n-8) +2416368893*a(n-12) -38181989668*a(n-16) +148755328110*a(n-20) +281773663032*a(n-24) +100862271352*a(n-28) +2907602208*a(n-32) for n>35

Example

Some solutions for n=3
..1..0..2..0....1..0..1..0....2..2..1..1....0..1..1..0....1..0..0..1
..1..2..1..1....1..2..2..1....0..2..0..2....0..0..0..2....2..1..2..1
..2..0..1..2....0..2..2..0....0..1..1..2....1..1..2..2....0..0..1..1
..0..0..2..1....1..1..2..0....0..1..0..1....1..0..1..2....0..2..0..0

Crossrefs

Sequence in context: A059464 A096021 A190032 * A281569 A252553 A237725

Adjacent sequences: A237316 A237317 A237318 * A237320 A237321 A237322

Keyword

nonn

Author

R. H. Hardin, Feb 06 2014

Status

approved