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A231459
Number of (n+1)X(3+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order
1
14, 38, 100, 272, 741, 2093, 6036, 17569, 51839, 154480, 465438, 1413661, 4328633, 13343012, 41361410, 128843945, 402969212, 1264606727, 3979686619, 12552988405, 39670815296, 125565825987, 397948664649, 1262512053378, 4008798974159
OFFSET
1,1
COMMENTS
Column 3 of A231463
LINKS
FORMULA
Empirical: a(n) = 7*a(n-1) -9*a(n-2) -25*a(n-3) +25*a(n-4) +97*a(n-5) -17*a(n-6) -113*a(n-7) -439*a(n-8) +323*a(n-9) +944*a(n-10) -544*a(n-11) -1037*a(n-12) +219*a(n-13) +1442*a(n-14) +1134*a(n-15) -1588*a(n-16) -3424*a(n-17) +2459*a(n-18) +3725*a(n-19) -4906*a(n-20) -2178*a(n-21) +4656*a(n-22) +60*a(n-23) -1844*a(n-24) +1914*a(n-25) +1068*a(n-26) -1242*a(n-27) -655*a(n-28) +177*a(n-29) -12*a(n-30) -162*a(n-31) -54*a(n-32)
EXAMPLE
Some solutions for n=6
..0..1..0..0....0..0..1..1....0..1..1..1....0..0..0..0....0..0..0..0
..1..0..1..0....1..1..0..0....0..0..1..1....0..0..0..0....1..1..1..1
..0..1..0..1....1..1..0..0....0..0..0..0....1..1..1..1....1..1..1..1
..1..0..1..0....1..1..0..0....2..2..0..0....1..1..1..1....1..1..1..1
..0..1..0..0....1..1..1..0....2..2..2..2....2..2..2..2....2..2..2..2
..1..0..0..0....1..1..0..0....3..3..2..2....2..2..2..2....2..2..2..2
..1..1..1..1....1..1..0..0....3..3..3..3....3..3..3..3....3..3..3..3
CROSSREFS
Sequence in context: A142241 A186121 A231391 * A244702 A187086 A044091
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 09 2013
STATUS
approved