A221114 T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or antidiagonal neighbor, without 2-loops

0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 7, 8, 0, 0, 0, 38, 178, 51, 0, 0, 0, 190, 2952, 3706, 304, 0, 0, 0, 918, 45842, 189762, 73267, 1769, 0, 0, 0, 4367, 693362, 9107191, 11678172, 1424745, 10200, 0, 0, 0, 20623, 10369358, 423897591, 1734890879, 709142453, 27551817

Offset

1,12

Comments

Table starts

.0.0........0............0...............0.................0.................0

.0.0........1............7..............38...............190...............918

.0.0........8..........178............2952.............45842............693362

.0.0.......51.........3706..........189762...........9107191.........423897591

.0.0......304........73267........11678172........1734890879......247812858484

.0.0.....1769......1424745.......709142453......326416281638...143089274586815

.0.0....10200.....27551817.....42873095694....61164981824003.82293038769560932

.0.0....58603....531785885...2588202786224.11445464707934974

.0.0...336224..10257442136.156169886336266

.0.0..1927953.197807790635

.0.0.11052712

.0.0

Links

R. H. Hardin, Table of n, a(n) for n = 1..96

Example

Some solutions for n=3 k=4
..0..1..0..0....0..1..0..0....0..2..1..1....0..2..2..1....0..2..1..0
..1..3..3..1....1..3..3..1....0..1..3..0....0..1..2..1....0..1..3..1
..0..1..2..0....1..1..1..0....1..2..1..0....0..1..2..0....0..2..2..0

Crossrefs

Column 3 is A153594(n-1)

Row 2 is A217340(n-1)

Sequence in context: A239152 A320914 A155846 * A198841 A332634 A330652

Adjacent sequences: A221111 A221112 A221113 * A221115 A221116 A221117

Keyword

nonn,tabl

Author

R. H. Hardin Jan 02 2013

Status

approved