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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. 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified April 14 19:09 EDT 2021. Contains 342951 sequences. (Running on oeis4.)