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A190033 T(n,k)=Number of (n+2)X(k+2) binary arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock 10
512, 112, 112, 228, 45, 228, 415, 79, 79, 415, 616, 155, 158, 155, 616, 880, 235, 274, 274, 235, 880, 1205, 295, 362, 458, 362, 295, 1205, 1508, 355, 430, 578, 578, 430, 355, 1508, 2008, 423, 506, 670, 834, 670, 506, 423, 2008, 2793, 531, 610, 790, 970, 970, 790 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
..512.112..228..415..616..880.1205.1508.2008.2793..3776..5220..7274..9829.13345
..112..45...79..155..235..295..355..423..531..740..1037..1434..1992..2706..3628
..228..79..158..274..362..430..506..610..790.1094..1539..2128..2917..3951..5309
..415.155..274..458..578..670..790..966.1242.1702..2338..3247..4460..6025..8139
..616.235..362..578..834..970.1162.1418.1802.2446..3314..4446..6199..8432.11313
..880.295..430..670..970.1230.1494.1834.2338.3142..4226..5674..7686.10543.14268
.1205.355..506..790.1162.1494.1910.2362.3002.4006..5390..7234..9790.13178.17955
.1508.423..610..966.1418.1834.2362.3018.3834.5122..6886..9242.12530.16874.22626
.2008.531..790.1242.1802.2338.3002.3834.5102.6794..9110.12238.16562.22266.29874
.2793.740.1094.1702.2446.3142.4006.5122.6794.9706.12930.17246.23194.31074.41542
LINKS
FORMULA
Empirical for all columns: a(n) = 2*a(n-1) -a(n-2) +a(n-3) -2*a(n-4) +a(n-5) +a(n-6) -a(n-7) for n>11,10,11,12,13,14,15,16 respectively for k=1..8
EXAMPLE
Some solutions for 5X4
..0..0..0..1....0..0..0..1....0..0..1..1....0..0..1..1....1..1..1..1
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..1..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..1..1..0..0....0..0..0..0....0..0..0..1....0..0..0..0....1..1..1..1
CROSSREFS
Sequence in context: A095882 A351249 A190024 * A190025 A077743 A111447
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin May 04 2011
STATUS
approved

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Last modified April 16 16:13 EDT 2024. Contains 371749 sequences. (Running on oeis4.)