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

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

R. H. Hardin, Table of n, a(n) for n = 1..112

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

Adjacent sequences: A251798 A251799 A251800 * A251802 A251803 A251804

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 09 2014

Status

approved