A237785 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

256, 1764, 1764, 12328, 20522, 12328, 86736, 240288, 240288, 86736, 610052, 2839146, 4723728, 2839146, 610052, 4293744, 33540636, 93725888, 93725888, 33540636, 4293744, 30217760, 396698708, 1860456346, 3131569162, 1860456346

Offset

1,1

Comments

Table starts

.........256.........1764..........12328...........86736..........610052

........1764........20522.........240288.........2839146........33540636

.......12328.......240288........4723728........93725888......1860456346

.......86736......2839146.......93725888......3131569162....104657092608

......610052.....33540636.....1860456346....104657092608...5892307755478

.....4293744....396698708....36979544756...3504178922346.332370978204052

....30217760...4688253896...734099743522.117069717739712

...212542304..55379334708.14562769631776

..1495366768.654580668296

.10525153280

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 32] for n>35

Example

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

Crossrefs

Sequence in context: A237489 A238054 A238049 * A237780 A237904 A237899

Adjacent sequences: A237782 A237783 A237784 * A237786 A237787 A237788

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 13 2014

Status

approved