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A233101 Number of 4Xn 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, diagonally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order 1

%I #4 Dec 04 2013 06:45:45

%S 36,515,13721,342626,8714705,221113913,5614356176,142541243171,

%T 3619052592419,91885574325470,2332922952059027,59231586841647287,

%U 1503856400880343784,38182060827392770301,969420865460044960745

%N Number of 4Xn 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, diagonally or antidiagonally, top left element zero, and 1 appearing before 2 in row major order

%C Row 4 of A233098

%H R. H. Hardin, <a href="/A233101/b233101.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 25*a(n-1) +52*a(n-2) -1084*a(n-3) +16*a(n-4) +9754*a(n-5) -16165*a(n-6) +5229*a(n-7) +5498*a(n-8) -3740*a(n-9) +320*a(n-10) +96*a(n-11) for n>12

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 04 2013

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Last modified July 16 19:20 EDT 2024. Contains 374358 sequences. (Running on oeis4.)