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A207805
Number of nX5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 0 1 vertically
1
16, 256, 1260, 9040, 57184, 379444, 2472540, 16206848, 106011620, 694009184, 4542097536, 29729773868, 194584835796, 1273595422280, 8335887348348, 54559852092224, 357103742801920, 2337306999308120, 15298084063769760
OFFSET
1,1
COMMENTS
Column 5 of A207808
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) +4*a(n-2) +a(n-3) +156*a(n-4) +450*a(n-5) +1534*a(n-6) +284*a(n-7) -6636*a(n-8) -20429*a(n-9) -58954*a(n-10) -85923*a(n-11) -30935*a(n-12) +298240*a(n-13) +715086*a(n-14) +668992*a(n-15) -111819*a(n-16) -1321603*a(n-17) -1450152*a(n-18) -1115039*a(n-19) +135434*a(n-20) +394522*a(n-21) +1112524*a(n-22) +852540*a(n-23) +503094*a(n-24) -120123*a(n-25) -590386*a(n-26) -94045*a(n-27) -172107*a(n-28) +175024*a(n-29) -88826*a(n-30) -2748*a(n-31) +28009*a(n-32) -5237*a(n-33) +22780*a(n-34) -15137*a(n-35) +3224*a(n-36) +3094*a(n-37) -2442*a(n-38) +500*a(n-39) +40*a(n-40) -87*a(n-41) +10*a(n-42) -a(n-43) -a(n-44)
EXAMPLE
Some solutions for n=4
..1..1..0..1..1....0..1..1..0..0....1..0..1..1..1....1..0..1..1..1
..1..1..0..1..0....0..1..1..0..1....0..1..1..1..1....0..1..0..1..1
..1..0..1..0..0....1..0..1..1..1....0..1..1..1..1....0..1..0..1..1
..1..0..1..0..1....1..0..1..1..0....1..1..0..1..1....0..1..1..0..1
CROSSREFS
Sequence in context: A208284 A208417 A208025 * A016744 A207401 A207750
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 20 2012
STATUS
approved