A237936 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1718, 1718, 11701, 19694, 11701, 81402, 228866, 228866, 81402, 563166, 2744048, 4554824, 2744048, 563166, 3880918, 32465580, 94068938, 94068938, 32465580, 3880918, 26804881, 383375880, 1903243716, 3422869862, 1903243716

Offset

1,1

Comments

Table starts

........256.........1718..........11701...........81402..........563166

.......1718........19694.........228866.........2744048........32465580

......11701.......228866........4554824........94068938......1903243716

......81402......2744048.......94068938......3422869862....120261272346

.....563166.....32465580.....1903243716....120261272346...7270062501162

....3880918....383375880....38477471800...4232660312790.440610763676048

...26804881...4542257982...782578367787.149839687112404

..185489824..54067139244.16010421948796

.1282099556.641031056118

.8852862392

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: [linear recurrence of order 36]

Example

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

Crossrefs

Sequence in context: A237532 A237175 A237169 * A237931 A237494 A237489

Adjacent sequences: A237933 A237934 A237935 * A237937 A237938 A237939

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 16 2014

Status

approved