A237904 T(n,k)=Number of (n+1)X(k+1) 0..3 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

256, 1768, 1768, 12441, 21410, 12441, 88964, 265306, 265306, 88964, 636720, 3351086, 5825366, 3351086, 636720, 4539422, 42195634, 130240640, 130240640, 42195634, 4539422, 32392585, 529992314, 2894506130, 5180304200, 2894506130

Offset

1,1

Comments

Table starts

.........256..........1768..........12441...........88964..........636720

........1768.........21410.........265306.........3351086........42195634

.......12441........265306........5825366.......130240640......2894506130

.......88964.......3351086......130240640......5180304200....204201919828

......636720......42195634.....2894506130....204201919828..14245150393666

.....4539422.....529992314....64281925312...8050312460472.994081770428554

....32392585....6659762642..1428716811643.317615484901450

...231168380...83778337524.31771479675504

..1651386880.1053822365410

.11781707484

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 40] for n>41

Example

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

Crossrefs

Sequence in context: A238049 A237785 A237780 * A237899 A238311 A205944

Adjacent sequences: A237901 A237902 A237903 * A237905 A237906 A237907

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 15 2014

Status

approved