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A231358
Number of (n+1)X(3+1) 0..3 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..3 introduced in row major order
1
4, 16, 69, 314, 1588, 8664, 48485, 278067, 1614600, 9457286, 55658849, 328567895, 1943405850, 11507060869, 68185488380, 404194144927, 2396690435419, 14213377453875, 84300321175577, 500017419228606, 2965913106562548
OFFSET
1,1
COMMENTS
Column 3 of A231363
LINKS
FORMULA
Empirical: a(n) = 7*a(n-1) +19*a(n-2) -167*a(n-3) -115*a(n-4) +1237*a(n-5) +894*a(n-6) -2132*a(n-7) -12928*a(n-8) -6798*a(n-9) +79252*a(n-10) +20108*a(n-11) -196263*a(n-12) -35291*a(n-13) +142846*a(n-14) +232674*a(n-15) +127936*a(n-16) -441702*a(n-17) -286662*a(n-18) -294442*a(n-19) +742062*a(n-20) +988354*a(n-21) -1093164*a(n-22) -192112*a(n-23) +147959*a(n-24) +36993*a(n-25) +60390*a(n-26) +7290*a(n-27) -32805*a(n-28) +6561*a(n-29) for n>31
EXAMPLE
Some solutions for n=4
..0..0..0..1....0..0..1..1....0..0..1..1....0..0..0..1....0..0..0..0
..0..0..1..1....0..1..1..1....0..1..1..1....0..0..1..1....0..0..0..0
..1..1..1..1....1..1..1..1....1..1..2..2....2..2..1..1....0..0..1..1
..1..1..2..2....2..2..1..1....2..2..2..3....2..2..1..1....1..1..1..0
..1..2..2..2....2..2..1..1....2..2..3..3....2..2..1..1....1..1..0..0
CROSSREFS
Sequence in context: A231297 A339045 A341255 * A000303 A351186 A298048
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 08 2013
STATUS
approved