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A251801
T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock having x11-x00 less than x10-x01
13
150, 1080, 1740, 6627, 28932, 19269, 36552, 348679, 724300, 216912, 187000, 3352272, 17195593, 18577404, 2430631, 905440, 27291608, 294088336, 873945739, 474547100, 27278035, 4206453, 195753488, 3934266515, 26787273856, 44356434596
OFFSET
1,1
COMMENTS
Table starts
.......150.........1080............6627.............36552..............187000
......1740........28932..........348679...........3352272............27291608
.....19269.......724300........17195593.........294088336..........3934266515
....216912.....18577404.......873945739.......26787273856........594938582014
...2430631....474547100.....44356434596.....2446811684440......90717637876583
..27278035..12140516092...2255553135793...224175608341756...13902663302194715
.305991368.310512400748.114701510008550.20552060379396424.2134102396738819286
LINKS
FORMULA
Empirical for column k:
k=1: [linear recurrence of order 7]
k=2: [order 20]
Empirical for row n:
n=1: [linear recurrence of order 7]
n=2: [order 22]
n=3: [order 40]
n=4: [order 52]
EXAMPLE
Some solutions for n=2 k=4
..0..2..0..0..2....0..2..2..3..1....0..0..0..3..3....0..0..2..1..1
..0..0..2..2..3....0..0..0..1..3....0..0..2..1..3....0..2..0..2..3
..2..2..1..3..3....0..1..3..2..2....0..0..1..3..3....2..0..3..3..3
CROSSREFS
Column 1 is A184665
Row 1 is A223069(n+1)
Sequence in context: A140671 A054558 A250544 * A211554 A073614 A191547
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 09 2014
STATUS
approved