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A230690
Number of (n+2)X(1+2) 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least two elements with value (x(i,j)+1) mod 3, and upper left element zero
1
2, 4, 21, 139, 913, 6276, 43544, 301609, 2092432, 14518601, 100730876, 698916053, 4849388894, 33647114207, 233458408129, 1619836235637, 11239129382534, 77981980905001, 541072982103756, 3754200244270001, 26048278095561922
OFFSET
1,1
COMMENTS
Column 1 of A230694
LINKS
FORMULA
Empirical: a(n) = 7*a(n-1) -2*a(n-2) +26*a(n-3) -115*a(n-4) +96*a(n-5) -242*a(n-6) +559*a(n-7) -460*a(n-8) +731*a(n-9) -1062*a(n-10) +238*a(n-11) -1160*a(n-12) +1284*a(n-13) +261*a(n-14) +936*a(n-15) -830*a(n-16) +1008*a(n-17) -453*a(n-19) +128*a(n-20) -5*a(n-21) -a(n-22)
EXAMPLE
Some solutions for n=3
..0..2..0....0..2..0....0..1..0....0..1..0....0..1..0....0..2..0....0..1..0
..1..1..1....1..1..1....2..1..2....2..1..2....2..1..2....1..1..1....2..1..2
..2..1..2....2..0..2....1..0..1....2..0..2....1..0..0....0..2..0....0..2..0
..0..0..0....1..0..1....2..2..2....1..0..1....2..1..2....1..1..1....1..1..1
..2..1..2....2..0..2....1..0..1....2..0..2....0..1..0....0..2..0....0..2..0
CROSSREFS
Sequence in context: A233289 A296282 A308763 * A219745 A151803 A151804
KEYWORD
nonn
AUTHOR
R. H. Hardin, Oct 27 2013
STATUS
approved