A203084
Number of (n+2) X 3 binary arrays avoiding patterns 000 and 101 in rows and columns.
Original entry on oeis.org
98, 253, 621, 1575, 4000, 10057, 25384, 64140, 161819, 408415, 1031041, 2602296, 6568305, 16579362, 41847510, 105626421, 266611217, 672949667, 1698582936, 4287374163, 10821707646, 27314936026, 68945297129, 174023973205
Offset: 1
Some solutions for n=3:
1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 1 1 1 0 0
1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0
1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 0 1 1
1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1
0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 0 0 1 1 0 0
A203085
Number of (n+2)X4 binary arrays avoiding patterns 000 and 101 in rows and columns.
Original entry on oeis.org
253, 787, 2237, 6615, 19723, 57699, 169561, 500813, 1473813, 4336509, 12776787, 37624405, 110768047, 326202095, 960592477, 2828495527, 8329036847, 24526561909, 72221962493, 212669436487, 626242809531, 1844074518231
Offset: 1
Some solutions for n=3
..0..0..1..0....1..0..0..1....0..1..1..0....1..1..1..0....0..0..1..1
..0..1..1..0....1..1..0..0....1..0..0..1....1..0..0..1....0..0..1..1
..1..1..1..1....1..1..1..0....1..0..0..1....1..0..0..1....1..1..1..1
..1..0..0..1....1..1..1..1....1..1..1..0....0..1..1..1....0..1..1..1
..1..0..0..1....1..0..0..1....0..1..1..0....0..0..1..1....0..0..1..0
A203086
Number of (n+2)X5 binary arrays avoiding patterns 000 and 101 in rows and columns.
Original entry on oeis.org
621, 2237, 7558, 26528, 92748, 319956, 1110338, 3857116, 13368366, 46374172, 160928422, 558198034, 1936342232, 6717789912, 23304299530, 80843139172, 280454591492, 972921980908, 3375134923804, 11708636231942, 40618271541636
Offset: 1
Some solutions for n=3
..0..1..1..1..1....0..0..1..1..0....1..1..0..0..1....1..0..0..1..0
..1..1..1..1..1....1..1..1..1..1....1..1..0..0..1....0..0..1..0..0
..0..1..1..1..1....0..1..1..0..0....0..0..1..1..0....0..1..0..0..1
..0..1..1..1..0....0..1..1..0..0....0..0..1..1..0....1..0..0..1..1
..1..0..0..1..0....1..0..0..1..1....1..1..1..1..1....0..0..1..0..0
A203087
Number of (n+2)X6 binary arrays avoiding patterns 000 and 101 in rows and columns.
Original entry on oeis.org
1575, 6615, 26528, 112334, 470807, 1946072, 8108104, 33749405, 140139039, 582872782, 2424232694, 10076881075, 41899814371, 174230232505, 724397027179, 3011944328140, 12523598001417, 52071590286001, 216507575162589
Offset: 1
Some solutions for n=3
..1..0..0..1..1..1....0..1..1..0..0..1....0..1..1..0..0..1....1..1..1..1..0..0
..0..0..1..1..1..1....1..1..1..0..0..1....1..1..1..0..0..1....0..0..1..1..1..0
..0..1..0..0..1..1....1..1..1..1..1..1....0..1..1..1..1..0....0..0..1..1..1..1
..1..1..0..0..1..1....1..1..1..1..1..1....0..1..1..1..1..0....1..1..0..0..1..1
..0..0..1..1..1..0....1..1..1..1..0..0....1..1..1..1..1..1....1..1..0..0..1..0
A203088
Number of (n+2)X7 binary arrays avoiding patterns 000 and 101 in rows and columns.
Original entry on oeis.org
4000, 19723, 92748, 470807, 2370796, 11699349, 58260775, 290231774, 1440610700, 7161014248, 35609572095, 176960438476, 879584805301, 4372483391637, 21733245679944, 108026928008832, 536972664561780, 2669084720571895
Offset: 1
Some solutions for n=3
..1..0..0..1..1..1..1....0..1..1..1..1..0..0....1..1..0..0..1..0..0
..1..1..1..1..1..1..1....1..1..1..1..1..1..0....0..1..1..1..1..1..1
..0..1..0..0..1..1..0....0..1..1..1..1..1..1....0..1..1..1..1..1..1
..0..1..0..0..1..0..0....0..1..1..1..1..1..1....1..0..0..1..0..0..1
..1..1..1..1..0..0..1....1..1..0..0..1..1..0....1..0..0..1..0..0..1
A203089
Number of (n+2)X8 binary arrays avoiding patterns 000 and 101 in rows and columns.
Original entry on oeis.org
10057, 57699, 319956, 1946072, 11699349, 68989536, 411159715, 2448491999, 14527671131, 86335466624, 513171415313, 3048439984301, 18113248802206, 107631805106769, 639499854727113, 3799762632265266, 22577634198427404
Offset: 1
Some solutions for n=2
..0..0..1..1..0..0..1..1....1..1..1..1..0..0..1..0....1..1..1..1..0..0..1..1
..1..1..0..0..1..1..1..0....1..1..1..1..0..0..1..1....0..1..1..1..0..0..1..1
..0..1..0..0..1..1..1..0....0..0..1..1..1..1..1..1....0..0..1..1..1..1..0..0
..0..0..1..1..1..1..1..1....0..0..1..1..0..0..1..0....1..0..0..1..1..1..0..0
A203090
Number of (n+2)X9 binary arrays avoiding patterns 000 and 101 in rows and columns.
Original entry on oeis.org
25384, 169561, 1110338, 8108104, 58260775, 411159715, 2942039652, 21001045294, 149307714269, 1063928895151, 7580777433365, 53974528946958, 384438447373736, 2738313728520726, 19501965156958738, 138898967881687747
Offset: 1
Some solutions for n=1
..0..0..1..1..1..1..1..1..1....1..1..0..0..1..1..1..0..0
..0..1..1..1..0..0..1..1..1....0..1..1..1..1..1..1..1..0
..1..1..1..1..0..0..1..1..1....0..1..0..0..1..1..0..0..1
A203083
Number of (n+2)X(n+2) binary arrays avoiding patterns 000 and 101 in rows and columns.
Original entry on oeis.org
98, 787, 7558, 112334, 2370796, 68989536, 2942039652, 179655879540, 15600032557062, 1955530152142929, 351771423028876126, 90632490221136217305
Offset: 1
Some solutions for n=3
..1..1..1..1..1....1..0..0..1..0....0..1..1..1..0....1..1..1..0..0
..1..1..0..0..1....1..0..0..1..0....0..1..1..0..0....0..1..1..1..1
..1..1..0..0..1....1..1..1..1..1....1..1..0..0..1....0..1..1..1..1
..1..1..1..1..0....1..1..1..1..1....1..0..0..1..0....1..1..1..1..0
..1..1..1..1..0....1..0..0..1..1....0..0..1..0..0....1..1..1..0..0
Showing 1-8 of 8 results.
Comments