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A207788
Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically
1
19, 361, 1575, 6418, 22322, 65094, 185613, 486006, 1224264, 2997835, 7098270, 16550130, 37910398, 85814196, 192716626, 429872932, 955654852, 2120317621, 4702504577, 10440375393, 23222416590, 51793064829, 115881126227
OFFSET
1,1
COMMENTS
Row 6 of A207785
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) -2*a(n-2) -45*a(n-3) +31*a(n-4) +230*a(n-5) -159*a(n-6) -834*a(n-7) +487*a(n-8) +2216*a(n-9) -1008*a(n-10) -4456*a(n-11) +1746*a(n-12) +6657*a(n-13) -2910*a(n-14) -7371*a(n-15) +5145*a(n-16) +5601*a(n-17) -8497*a(n-18) -1717*a(n-19) +11518*a(n-20) -2645*a(n-21) -12637*a(n-22) +6573*a(n-23) +10402*a(n-24) -8672*a(n-25) -6375*a(n-26) +9440*a(n-27) +1727*a(n-28) -8399*a(n-29) +1708*a(n-30) +6137*a(n-31) -3371*a(n-32) -3728*a(n-33) +4085*a(n-34) +956*a(n-35) -3071*a(n-36) +318*a(n-37) +2176*a(n-38) -1208*a(n-39) -824*a(n-40) +1065*a(n-41) +20*a(n-42) -589*a(n-43) +173*a(n-44) +339*a(n-45) -323*a(n-46) +47*a(n-47) +60*a(n-48) +11*a(n-49) -75*a(n-50) +61*a(n-51) -18*a(n-52) -3*a(n-54) +6*a(n-55) -4*a(n-56) +a(n-57) for n>59
EXAMPLE
Some solutions for n=4
..1..0..1..0....0..0..1..0....0..0..1..0....1..0..0..1....0..1..0..0
..1..1..0..0....0..1..0..1....1..1..0..0....0..1..0..1....0..1..0..1
..1..1..0..1....1..1..0..0....0..1..0..1....0..0..1..0....1..0..1..0
..1..0..1..0....1..1..1..0....0..0..1..0....1..0..1..0....1..0..1..0
..0..0..1..0....1..0..0..1....1..0..1..0....1..1..1..1....0..1..0..1
..0..1..0..1....1..0..0..1....0..1..0..1....0..1..0..1....0..1..0..0
CROSSREFS
Sequence in context: A262762 A207167 A208011 * A207303 A207916 A208162
KEYWORD
nonn
AUTHOR
R. H. Hardin Feb 20 2012
STATUS
approved