A237412 T(n,k)=Number of (n+1) X (k+1) 0..2 arrays with the maximum plus the upper median plus the minimum of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.

81, 322, 322, 1278, 1632, 1278, 5228, 8236, 8236, 5228, 21456, 44186, 53167, 44186, 21456, 87164, 238640, 373804, 373804, 238640, 87164, 354008, 1260486, 2671962, 3604930, 2671962, 1260486, 354008, 1441060, 6627450, 18401364, 35476776

Offset

1,1

Comments

Table starts

.......81.......322........1278..........5228...........21456............87164

......322......1632........8236.........44186..........238640..........1260486

.....1278......8236.......53167........373804.........2671962.........18401364

.....5228.....44186......373804.......3604930........35476776........330330878

....21456....238640.....2671962......35476776.......480758688.......6045609040

....87164...1260486....18401364.....330330878......6045609040.....101410470742

...354008...6627450...125750824....3029315052.....74740595664....1668740442760

..1441060..35198148...872440876...28551327846....958854072908...28739211200900

..5874828.187296514..6089994150..271444171644..12448856412422..500884807969628

.23898504.992298282.42113161848.2547123932136.158549359318752.8543128692901112

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Formula

Empirical for column k:

k=1: [linear recurrence of order 16]

k=2: [order 37]

Example

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

Crossrefs

Sequence in context: A158776 A101963 A053171 * A237405 A250443 A017162

Adjacent sequences: A237409 A237410 A237411 * A237413 A237414 A237415

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 07 2014

Status

approved