Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Search: a265863 -id:a265863
     Sort: relevance | references | number | modified | created      Format: long | short | data
Number of nX2 arrays containing 2 copies of 0..n-1 with no element plus any vertical neighbor equal to n-1.
+10
1
1, 2, 22, 384, 19080, 1019328, 106546608, 11075595648, 1892644922880, 321721729436160, 81376293539485440, 20506177206967265280
OFFSET
1,2
COMMENTS
Column 2 of A265863.
EXAMPLE
Some solutions for n=4
..0..3....3..2....3..0....1..3....1..2....2..1....3..1....1..2....0..1....3..2
..0..3....3..2....1..0....1..2....0..0....2..3....2..1....3..2....1..0....1..0
..1..2....1..0....3..2....3..0....2..1....0..1....0..3....3..0....3..2....1..0
..1..2....0..1....1..2....2..0....3..3....0..3....0..2....1..0....2..3....3..2
CROSSREFS
Cf. A265863.
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 17 2015
STATUS
approved
Number of 3Xn arrays containing n copies of 0..3-1 with no element plus any vertical neighbor equal to 3-1.
+10
1
2, 22, 152, 1462, 13772, 139144, 1431824, 15086614, 161254844, 1745205892, 19070813984, 210091931944, 2330150737904, 25993622086384, 291414635747552, 3281265369826774, 37087677409301804, 420618333874721044
OFFSET
1,1
COMMENTS
Row 3 of A265863.
LINKS
EXAMPLE
Some solutions for n=4
..1..2..0..0....0..0..1..1....1..0..2..1....0..2..0..1....2..2..2..2
..0..2..1..1....0..1..2..2....0..0..2..2....0..2..1..0....1..1..1..1
..1..2..0..2....1..0..2..2....0..1..2..1....1..2..2..1....0..0..0..0
CROSSREFS
Cf. A265863.
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 17 2015
STATUS
approved
Number of 4Xn arrays containing n copies of 0..4-1 with no element plus any vertical neighbor equal to 4-1.
+10
1
8, 384, 22016, 1584088, 124214208, 10318543104, 891453176832, 79282110189528, 7210026166925504, 667397938420086784, 62673274464982136832, 5956095271996318830016, 571751372700932605781504
OFFSET
1,1
COMMENTS
Row 4 of A265863.
LINKS
EXAMPLE
Some solutions for n=3
..2..3..2....3..3..0....1..1..3....0..2..3....3..0..1....1..2..2....3..1..1
..0..1..0....1..2..2....0..0..1....2..0..1....2..1..3....1..3..3....3..1..3
..1..1..2....0..0..3....2..2..3....3..1..0....2..1..3....0..3..1....2..0..2
..0..3..3....1..2..1....2..0..3....3..1..2....0..0..2....0..2..0....2..0..0
CROSSREFS
Cf. A265863.
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 17 2015
STATUS
approved
Number of 5Xn arrays containing n copies of 0..5-1 with no element plus any vertical neighbor equal to 5-1.
+10
1
48, 19080, 11544576, 8616332520, 7213744082208, 6506213147078784, 6182493701434699200, 6106331818705805071848, 6213307943028280874144640, 6473333266657725653848974240, 6875099003504356815513699218880
OFFSET
1,1
COMMENTS
Row 5 of A265863.
LINKS
EXAMPLE
Some solutions for n=2
..2..0....1..4....2..3....3..1....2..3....0..4....3..0....2..4....0..2....0..1
..4..1....0..4....1..4....2..2....0..2....0..2....4..2....0..2....1..4....2..4
..3..0....2..1....0..4....4..0....1..0....1..1....3..4....0..1....0..3....1..3
..3..2....3..0....1..3....1..0....1..3....4..2....0..1....3..1....3..2....2..0
..4..1....3..2....0..2....4..3....4..4....3..3....1..2....3..4....4..1....4..3
CROSSREFS
Cf. A265863.
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 17 2015
STATUS
approved
Number of nX3 arrays containing 3 copies of 0..n-1 with no element plus any vertical neighbor equal to n-1.
+10
0
1, 0, 152, 22016, 11544576, 7521762432, 11355242996304, 19696965348836352
OFFSET
1,3
COMMENTS
Column 3 of A265863.
EXAMPLE
Some solutions for n=4
..2..3..3....2..2..2....1..0..3....3..0..1....2..1..3....2..0..2....0..1..0
..0..1..2....3..0..0....1..1..2....1..2..0....2..0..1....2..1..0....2..1..1
..0..1..2....3..1..1....3..0..3....3..2..1....3..0..3....3..1..1....3..3..0
..1..3..0....1..0..3....2..0..2....2..3..0....2..0..1....3..3..0....3..2..2
CROSSREFS
Cf. A265863.
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 17 2015
STATUS
approved
Number of n X 4 arrays of permutations of 4 copies of 0..n-1 with no element plus any vertical neighbor equal to n-1.
+10
0
1, 6, 1462, 1584088, 8616332520, 71643177829872, 1642669067898696816
OFFSET
1,2
COMMENTS
Column 4 of A265863.
EXAMPLE
Some solutions for n=3
..2..2..2..0....2..1..0..0....0..2..1..0....1..2..0..2....2..0..0..2
..1..1..1..0....1..2..0..0....0..1..2..0....0..1..1..2....1..1..1..1
..0..0..2..1....2..2..1..1....1..2..2..1....0..0..2..1....2..0..0..2
CROSSREFS
Cf. A265863.
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 17 2015
STATUS
approved

Search completed in 0.006 seconds