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Search: a198209 -id:a198209
Displaying 1-4 of 4 results found.
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A198205
Number of 2nX2 0..3 arrays with values 0..3 introduced in row major order and each element unequal to exactly two horizontal and vertical neighbors
+10
1
4, 43, 658, 11029, 189376, 3272959, 56665678, 981535273, 17003856124, 294580477651, 5103458162314, 88415060881213, 1531751228239288, 26536907089886119, 459740106490112326, 7964792868501695569
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 1 of A198209
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..200
FORMULA
Empirical: a(n) = 23*a(n-1) -103*a(n-2) +81*a(n-3)
EXAMPLE
Some solutions for n=3
..0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1....0..1
..2..2....2..3....2..2....2..0....1..2....2..2....2..2....2..3....2..0....2..2
..1..1....2..3....1..1....2..0....1..2....0..0....3..3....2..3....2..0....0..1
..0..0....3..1....0..2....0..3....0..1....3..2....2..2....0..2....0..3....0..1
..1..1....3..1....0..2....0..3....0..1....3..2....1..1....0..2....0..3....2..2
..3..2....2..3....3..0....3..1....1..3....0..1....3..0....1..0....3..0....1..0
KEYWORD
nonn
AUTHOR
R. H. Hardin Oct 22 2011
STATUS
approved
A198206
Number of 2nX4 0..3 arrays with values 0..3 introduced in row major order and each element unequal to exactly two horizontal and vertical neighbors
+10
1
43, 1765, 50729, 1660672, 56315642, 1930887802, 66941645630, 2331298473193, 81407459944121, 2846734759084627, 99622031525717855, 3487698946608204322, 122128077706715335280, 4277023178407978272400, 149793878862653254021508
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 2 of A198209
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..200
FORMULA
Empirical: a(n) = 65*a(n-1) -1221*a(n-2) +4909*a(n-3) +38995*a(n-4) +97941*a(n-5) -5336901*a(n-6) +24513309*a(n-7) -24792291*a(n-8) +22615443*a(n-9) +29343465*a(n-10) -1299185649*a(n-11) +509455089*a(n-12) +6460607223*a(n-13) -508707135*a(n-14) -5208653241*a(n-15)
EXAMPLE
Some solutions for n=3
..0..1..1..0....0..1..1..0....0..1..0..2....0..1..1..2....0..1..2..0
..2..2..2..2....2..0..0..2....2..1..0..1....2..3..3..1....3..1..2..2
..3..3..3..3....2..0..0..2....2..1..0..1....2..3..3..1....3..1..1..1
..2..2..2..2....3..3..3..0....0..1..0..0....0..1..1..2....0..0..0..0
..1..1..1..1....2..2..3..0....0..1..1..1....0..1..1..2....2..2..1..1
..0..2..2..3....1..2..3..2....3..0..0..2....1..0..0..1....0..2..1..0
KEYWORD
nonn
AUTHOR
R. H. Hardin Oct 22 2011
STATUS
approved
A198207
Number of 2nX6 0..3 arrays with values 0..3 introduced in row major order and each element unequal to exactly two horizontal and vertical neighbors
+10
1
658, 50729, 3603458, 276030525, 21989253467, 1791994477631, 148260119458624, 12388301166414053, 1042156486950351473, 88068293220220746165, 7464940011082766165729, 634039417143962239696103
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 3 of A198209
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..31
EXAMPLE
Some solutions for n=4
..0..1..0..1..0..2....0..1..0..1..0..2....0..1..0..1..0..2....0..1..0..1..0..1
..1..1..0..1..0..0....1..1..0..1..0..0....1..1..0..1..0..0....1..1..0..1..0..0
..0..0..0..1..1..1....0..0..0..1..1..1....0..0..0..1..1..1....0..0..0..1..1..1
..1..2..2..2..2..3....1..2..2..0..0..2....1..2..2..0..0..2....1..2..2..2..2..2
..1..2..1..1..2..3....1..2..2..0..0..2....1..2..2..0..0..2....1..2..3..3..3..3
..0..2..1..1..2..2....2..0..0..3..3..1....3..3..3..3..3..3....2..2..3..1..1..2
..0..2..2..2..3..3....2..0..0..3..3..1....2..2..2..2..2..2....1..1..3..1..1..2
..1..0..0..2..3..2....0..3..3..2..2..3....1..0..0..1..1..0....0..1..3..2..2..0
KEYWORD
nonn
AUTHOR
R. H. Hardin Oct 22 2011
STATUS
approved
A198208
Number of 2nX8 0..3 arrays with values 0..3 introduced in row major order and each element unequal to exactly two horizontal and vertical neighbors
+10
0
11029, 1660672, 276030525, 51432469614, 10120087499636
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 4 of A198209
LINKS
Table of n, a(n) for n=1..5.
EXAMPLE
Some solutions for n=3
..0..1..0..2..1..2..2..1....0..1..0..2..1..1..3..0....0..1..0..2..0..3..3..2
..1..1..0..2..1..1..1..0....1..1..0..2..0..0..3..3....1..1..0..2..0..0..0..1
..0..0..0..2..0..0..1..0....0..0..0..2..0..0..2..2....0..0..0..2..2..2..0..1
..1..1..1..2..0..0..1..1....1..1..1..2..2..2..2..1....1..1..1..1..1..2..0..0
..0..0..1..2..2..2..0..0....0..0..1..0..0..0..0..1....0..0..0..0..1..2..1..1
..3..0..1..3..3..2..0..2....3..0..1..0..1..1..0..2....1..2..2..0..1..2..1..2
KEYWORD
nonn
AUTHOR
R. H. Hardin Oct 22 2011
STATUS
approved
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