A237158 T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with the maximum plus the minimum of every 2 X 2 subblock equal.

256, 1868, 1868, 14096, 37652, 14096, 111900, 762508, 762508, 111900, 912848, 16547988, 39065788, 16547988, 912848, 7609244, 367558796, 2178706440, 2178706440, 367558796, 7609244, 64386416, 8327731884, 122764464080

Offset

1,1

Comments

Table starts:

.....256.......1868.........14096...........111900..............912848

....1868......37652........762508.........16547988...........367558796

...14096.....762508......39065788.......2178706440........122764464080

..111900...16547988....2178706440.....317411030268......46125739204336

..912848..367558796..122764464080...46125739204336...17061532793217332

.7609244.8327731884.7033328776428.6800622630757224.6399495495536326520

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: [linear recurrence of order 10]

k=2: [order 16]

k=3: [order 38]

k=4: [order 84]

Example

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

Crossrefs

Sequence in context: A238293 A237898 A237891 * A237151 A237574 A237569

Adjacent sequences: A237155 A237156 A237157 * A237159 A237160 A237161

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 04 2014

Status

approved