A238311 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1776, 1776, 12372, 20128, 12372, 85984, 227622, 227622, 85984, 601408, 2570594, 4124382, 2570594, 601408, 4181152, 29039618, 73547936, 73547936, 29039618, 4181152, 29228452, 328887234, 1325192097, 2095353404, 1325192097

Offset

1,1

Comments

Table starts

........256..........1776............12372.............85984.............601408

.......1776.........20128...........227622...........2570594...........29039618

......12372........227622..........4124382..........73547936.........1325192097

......85984.......2570594.........73547936........2095353404........60499288444

.....601408......29039618.......1325192097.......60499288444......2819884806312

....4181152.....328887234......23867403810.....1753568482738....130981062733326

...29228452....3724943100.....431525615512....50670612949420...6096647460404574

..203246304...42156330796....7754964008116..1462889957511854.282303059762478196

.1421071696..477092412942..140102741116287.42268524829620522

.9880770000.5400733421386.2519445217835664

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Formula

Empirical for column k:

k=1: [linear recurrence of order 26]

k=2: [order 76]

Example

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

Crossrefs

Sequence in context: A237780 A237904 A237899 * A205944 A238306 A205937

Adjacent sequences: A238308 A238309 A238310 * A238312 A238313 A238314

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 24 2014

Status

approved