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A231780
Number of nX3 0..2 arrays with no element having a strict majority of its horizontal and vertical neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions)
1
3, 74, 854, 9892, 115110, 1339532, 15587828, 181392458, 2110829288, 24563317752, 285838643356, 3326249767890, 38706934038034, 450425207672442, 5241512218541580, 60994477815724568, 709781103027952810
OFFSET
1,1
COMMENTS
Column 3 of A231785
LINKS
FORMULA
Empirical: a(n) = 14*a(n-1) -22*a(n-2) -76*a(n-3) +119*a(n-4) +271*a(n-5) -326*a(n-6) -446*a(n-7) +265*a(n-8) +184*a(n-9) +336*a(n-10) -2*a(n-11) +184*a(n-12) -359*a(n-13) +287*a(n-14) -299*a(n-15) -38*a(n-16) -45*a(n-17) +26*a(n-18) -8*a(n-19) -6*a(n-20) -2*a(n-21) for n>22
EXAMPLE
Some solutions for n=5
..0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..1....0..0..0
..0..2..1....2..2..2....1..2..0....0..0..0....0..2..1....2..2..0....2..1..2
..2..1..1....1..0..2....1..1..0....2..2..2....1..1..1....2..2..0....1..1..1
..1..1..1....1..1..1....1..1..0....2..2..2....2..1..2....1..1..2....1..1..1
..0..0..2....0..0..0....0..0..0....0..1..1....1..1..2....1..1..2....1..2..1
CROSSREFS
Sequence in context: A337413 A337409 A215961 * A093183 A278380 A290774
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 13 2013
STATUS
approved