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A236082 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing rowwise and columnwise 5
81, 576, 576, 3992, 9979, 3992, 26088, 169680, 169680, 26088, 167892, 2634205, 7147799, 2634205, 167892, 1060410, 40097396, 271135379, 271135379, 40097396, 1060410, 6648825, 587963980, 10003171144, 25485868729, 10003171144, 587963980 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.........81...........576............3992.............26088.............167892

........576..........9979..........169680...........2634205...........40097396

.......3992........169680.........7147799.........271135379........10003171144

......26088.......2634205.......271135379.......25485868729......2353737191047

.....167892......40097396.....10003171144.....2353737191047....558542932337300

....1060410.....587963980....349054240169...204552132539376.126138961904040570

....6648825....8523145663..11883153992874.17233100445331692

...41411637..121700475056.392842405587563

..257111073.1728432778182

.1592383950

LINKS

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

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 12]

k=2: [order 82]

EXAMPLE

Some solutions for n=2 k=4

..0..0..0..2..1....0..0..0..1..0....1..0..1..0..2....0..0..0..1..0

..0..0..2..2..1....0..0..1..0..2....0..0..2..0..1....0..0..1..0..1

..2..0..2..1..2....0..1..1..0..2....0..2..2..2..2....1..1..1..1..2

CROSSREFS

Column 1 is A235737

Sequence in context: A237035 A237028 A235742 * A235737 A236490 A235437

Adjacent sequences:  A236079 A236080 A236081 * A236083 A236084 A236085

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 19 2014

STATUS

approved

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Last modified December 5 03:03 EST 2021. Contains 349530 sequences. (Running on oeis4.)