A237791 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the minimum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1902, 1902, 14369, 26230, 14369, 108626, 367726, 367726, 108626, 822482, 5195344, 9679862, 5195344, 822482, 6206506, 73170922, 256311790, 256311790, 73170922, 6206506, 46951577, 1029281994, 6776019974, 12795841200, 6776019974

Offset

1,1

Comments

Table starts

.........256...........1902.............14369..............108626

........1902..........26230............367726.............5195344

.......14369.........367726...........9679862...........256311790

......108626........5195344.........256311790.........12795841200

......822482.......73170922........6776019974........635807130472

.....6206506.....1029281994......178512761384......31548627779530

....46951577....14489762434.....4719215160352....1566949786889880

...354492388...204068007444...124491992110564...77875021827170574

..2682430004..2873241939356..3291189351446428.3868675262695142732

.20249512232.40449727138522.86781113390907628

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Formula

Empirical for column k:

k=1: [linear recurrence of order 30]

Example

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

Crossrefs

Sequence in context: A206752 A237539 A206745 * A237786 A238063 A238058

Adjacent sequences: A237788 A237789 A237790 * A237792 A237793 A237794

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 13 2014

Status

approved