A185487 T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock determinant equal to some horizontal or vertical neighbor 2X2 subblock determinant

0, 30, 30, 76, 148, 76, 234, 684, 684, 234, 632, 3262, 4740, 3262, 632, 1832, 15402, 35672, 35672, 15402, 1832, 5182, 73094, 260172, 431655, 260172, 73094, 5182, 14860, 346356, 1923780, 5026765, 5026765, 1923780, 346356, 14860, 42346, 1642258

Offset

1,2

Comments

Table starts

......0.......30.........76...........234.............632..............1832

.....30......148........684..........3262...........15402.............73094

.....76......684.......4740.........35672..........260172...........1923780

....234.....3262......35672........431655.........5026765..........59486818

....632....15402.....260172.......5026765........92026207........1723639416

...1832....73094....1923780......59486818......1723639416.......51354095605

...5182...346356...14150114.....699638196.....31993561712.....1513130455943

..14860..1642258..104300522....8249951270....596127705496....44794190542169

..42346..7785218..768160718...97185031842..11090335813888..1323525925470463

.121016.36909314.5659345888.1145303393559.206455498003433.39137379574959336

Links

R. H. Hardin, Table of n, a(n) for n = 1..199

Example

Some solutions for 4X3 with
..0..0..0....0..0..1....0..1..1....1..0..0....0..0..0....1..1..0....1..0..0
..0..1..0....0..0..0....1..1..0....0..0..1....0..0..0....0..1..1....0..0..0
..0..0..0....0..1..1....1..0..0....1..0..1....1..1..1....0..0..0....0..0..0
..1..0..0....0..0..0....0..0..1....1..0..0....1..1..1....1..1..0....1..1..1

Crossrefs

Sequence in context: A040871 A022364 A186902 * A051723 A247517 A165851

Adjacent sequences: A185484 A185485 A185486 * A185488 A185489 A185490

Keyword

nonn,tabl

Author

R. H. Hardin Jan 28 2011

Status

approved