A237511 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

81, 328, 328, 1342, 1724, 1342, 5622, 9108, 9108, 5622, 23545, 50876, 62031, 50876, 23545, 97700, 284368, 462206, 462206, 284368, 97700, 406008, 1553960, 3489965, 4882448, 3489965, 1553960, 406008, 1690160, 8478776, 25188644, 52177092

Offset

1,1

Comments

Table starts

.......81........328........1342..........5622...........23545

......328.......1724........9108.........50876..........284368

.....1342.......9108.......62031........462206.........3489965

.....5622......50876......462206.......4882448........52177092

....23545.....284368.....3489965......52177092.......785179913

....97700....1553960....25188644.....519582770.....10729163264

...406008....8478776...180995914....5108133318....144998701422

..1690160...46757986..1323886040...52155298022...2060542176864

..7044600..257959884..9750862216..537071054554..29631609284098

.29290848.1416477192.70896853212.5420999342862.413277799902244

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: a(n) = 208*a(n-4) +1448*a(n-6) +2500*a(n-8) +528*a(n-10) -624*a(n-12)

k=2: [order 29]

Example

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

Crossrefs

Sequence in context: A250427 A236828 A236821 * A237504 A222162 A237481

Adjacent sequences: A237508 A237509 A237510 * A237512 A237513 A237514

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 08 2014

Status

approved