A197750 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 3,3,0,1,0 for x=0,1,2,3,4

1, 1, 1, 2, 7, 2, 3, 12, 12, 3, 5, 31, 66, 31, 5, 8, 79, 212, 212, 79, 8, 13, 186, 921, 1317, 921, 186, 13, 21, 465, 4086, 9499, 9499, 4086, 465, 21, 34, 1131, 17332, 64832, 115795, 64832, 17332, 1131, 34, 55, 2776, 75122, 462515, 1345639, 1345639, 462515, 75122

Offset

1,4

Comments

Every 0 is next to 0 3's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 0's

Table starts

..1....1.......2.........3...........5.............8..............13

..1....7......12........31..........79...........186.............465

..2...12......66.......212.........921..........4086...........17332

..3...31.....212......1317........9499.........64832..........462515

..5...79.....921......9499......115795.......1345639........15943658

..8..186....4086.....64832.....1345639......26488736.......517762136

.13..465...17332....462515....15943658.....517762136.....16946352492

.21.1131...75122...3316363...189654699...10253557106....558436739769

.34.2776..326124..23465652..2233388582..201303354308..18226535390462

.55.6803.1408419.167021811.26384576019.3960281174841.597638865062474

Links

R. H. Hardin, Table of n, a(n) for n = 1..161

Example

Some solutions containing all values 0 to 4 for n=6 k=4
..0..0..0..0....0..0..0..2....1..1..3..1....2..0..2..0....2..0..0..0
..0..4..0..1....0..0..4..0....3..1..1..1....0..1..3..1....0..4..0..0
..0..0..1..3....0..1..0..0....1..0..1..3....0..0..1..0....0..0..0..1
..0..4..0..1....1..3..1..1....0..0..0..1....0..4..0..0....0..2..1..3
..0..0..0..0....0..2..1..3....0..4..0..2....0..0..4..0....0..2..0..1
..2..0..0..2....0..0..0..1....0..0..0..0....0..0..0..0....0..2..0..0

Crossrefs

Column 1 is A000045

Column 2 is A197229

Sequence in context: A198013 A198155 A197235 * A197098 A196802 A196590

Adjacent sequences: A197747 A197748 A197749 * A197751 A197752 A197753

Keyword

nonn,tabl

Author

R. H. Hardin Oct 17 2011

Status

approved