A237567 T(n,k)=Number of (n+1)X(k+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

81, 316, 316, 1256, 1536, 1256, 4984, 7356, 7356, 4984, 19900, 36168, 44828, 36168, 19900, 78144, 175768, 272828, 272828, 175768, 78144, 311512, 848720, 1668300, 2161168, 1668300, 848720, 311512, 1227648, 4121060, 10006572, 16418704

Offset

1,1

Comments

Table starts

.......81.......316........1256.........4984..........19900...........78144

......316......1536........7356........36168.........175768..........848720

.....1256......7356.......44828.......272828........1668300........10006572

.....4984.....36168......272828......2161168.......16418704.......126608036

....19900....175768.....1668300.....16418704......159014170......1518590620

....78144....848720....10006572....126608036.....1518590620.....18615658788

...311512...4121060....61521086....977290740....14891233160....228407442348

..1227648..20050460...369916012...7535608804...142803584684...2815624842216

..4896848..97225972..2269219612..58063606256..1403992115612..34622654326396

.19273664.471641072.13640047444.448289864392.13464379623752.426711928933956

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Formula

Empirical for column k:

k=1: a(n) = 4*a(n-2) +140*a(n-4) +632*a(n-6) +864*a(n-8) for n>9

k=2: [order 17]

k=3: [order 60] for n>63

Example

Some solutions for n=3 k=4
..1..0..0..1..1....0..0..1..0..1....0..2..2..1..2....0..1..1..2..2
..0..1..0..2..1....0..0..1..1..0....1..2..2..1..0....0..2..0..2..1
..2..1..0..2..1....1..1..2..2..1....0..1..1..1..0....0..2..1..1..2
..2..1..2..1..0....0..2..0..0..2....0..1..0..0..0....2..1..0..0..1

Crossrefs

Sequence in context: A237696 A237557 A237550 * A237560 A237332 A237325

Adjacent sequences: A237564 A237565 A237566 * A237568 A237569 A237570

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 09 2014

Status

approved