A225027 T(n,k) is the number of (n+1) X (k+1) 0..2 matrices with each 2 X 2 permanent equal.

81, 253, 253, 759, 1935, 759, 2653, 12641, 12641, 2653, 9273, 113261, 117959, 113261, 9273, 34545, 979821, 1930229, 1930229, 979821, 34545, 130067, 9045373, 23865033, 68599847, 23865033, 9045373, 130067, 502563, 82894903, 356942157, 1695172731

Offset

1,1

Comments

Table starts

......81.........253............759..............2653.................9273

.....253........1935..........12641............113261...............979821

.....759.......12641.........117959...........1930229.............23865033

....2653......113261........1930229..........68599847...........1695172731

....9273......979821.......23865033........1695172731..........61256508583

...34545.....9045373......356942157.......52562324371........3420719145421

..130067....82894903.....4807268289.....1457105103421......144661440731701

..502563...768456167....69047521033....43215008345605.....7310039035972089

.1957855..7112825923...955759546369..1240053913896303...329657881472577779

.7707477.65968698193.13524243825173.36294561965670221.15990423886532132411

Links

R. H. Hardin, Table of n, a(n) for n = 1..264

Formula

Empirical: linear recurrences for columns k=1..4 are of order 12,30,36,87.

Example

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

Crossrefs

Sequence in context: A237160 A236886 A206142 * A225020 A219131 A236789

Adjacent sequences: A225024 A225025 A225026 * A225028 A225029 A225030

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 24 2013

Status

approved