A237561 Number of (n+1)X(2+1) 0..2 arrays with the upper median plus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

316, 1536, 7356, 36168, 175768, 848720, 4121060, 20050460, 97225972, 471641072, 2290359200, 11118632740, 53953373220, 261887194692, 1271260706180, 6170274480252, 29948363314372, 145366959304036, 705586332210288

Offset

1,1

Comments

Column 2 of A237567

Links

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

Formula

Empirical: a(n) = 2*a(n-2) +42*a(n-3) +208*a(n-4) +293*a(n-5) +900*a(n-6) -12*a(n-7) -857*a(n-8) -1583*a(n-9) -4726*a(n-10) +4946*a(n-11) +5993*a(n-12) +3312*a(n-13) +3822*a(n-14) -3319*a(n-15) -540*a(n-16) -32*a(n-17)

Example

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

Crossrefs

Sequence in context: A115559 A033861 A179155 * A358926 A264540 A253689

Adjacent sequences: A237558 A237559 A237560 * A237562 A237563 A237564

Keyword

nonn

Author

R. H. Hardin, Feb 09 2014

Status

approved