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A230972 Number of (n+2)X(3+2) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero 1

%I

%S 64,1024,13872,215296,3512016,56791296,916182800,14798235904,

%T 239064235280,3861633730816,62375812374416,1007546438064384,

%U 16274770077064464,262884078983506176,4246328954474664080

%N Number of (n+2)X(3+2) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero

%C Column 3 of A230977

%H R. H. Hardin, <a href="/A230972/b230972.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) +38*a(n-3) +169*a(n-4) -2222*a(n-5) -6268*a(n-6) +96224*a(n-7) +78948*a(n-8) -1087800*a(n-9) -22464*a(n-10) +94592*a(n-11) -1544192*a(n-12) -77824*a(n-13) -1000192*a(n-14) +2238464*a(n-15) -2001664*a(n-16) +2165248*a(n-17) +1662976*a(n-18) -2408448*a(n-19) +1826816*a(n-20) +114688*a(n-21) -786432*a(n-22) +1572864*a(n-24) -1048576*a(n-25)

%e Some solutions for n=1

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

%e ..3..1..1..3..3....3..1..1..3..3....3..1..1..3..3....1..1..3..3..1

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 02 2013

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Last modified September 25 03:12 EDT 2022. Contains 356953 sequences. (Running on oeis4.)