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 A231452 Number of (2+1)X(n+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..3 introduced in row major order 1

%I #4 Nov 09 2013 06:52:47

%S 6,15,32,87,229,647,1829,5293,15405,45267,133622,396229,1178280,

%T 3512183,10486280,31348643,93802627,280872905,841438827,2521717541,

%U 7559421071,22665628739,67969023714,203845636065,611401428290,1833905526365

%N Number of (2+1)X(n+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..3 introduced in row major order

%C Row 2 of A231451

%H R. H. Hardin, <a href="/A231452/b231452.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -7*a(n-2) -20*a(n-3) +52*a(n-4) -14*a(n-5) -69*a(n-6) +56*a(n-7) +24*a(n-8) +14*a(n-9) -81*a(n-10) +112*a(n-12) -6*a(n-13) -3*a(n-14) -36*a(n-15) -27*a(n-16)

%e Some solutions for n=6

%e ..0..0..0..1..1..1..0....0..0..1..1..1..2..2....0..0..0..0..1..1..2

%e ..0..0..1..1..1..0..0....0..1..1..1..2..2..3....0..0..0..1..1..2..3

%e ..0..1..1..1..0..0..0....3..3..3..3..3..3..3....2..2..2..2..2..3..3

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 09 2013

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Last modified December 2 19:08 EST 2023. Contains 367525 sequences. (Running on oeis4.)