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A233023 Number of nX5 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, vertically, diagonally or antidiagonally, and top left element zero 1

%I #4 Dec 03 2013 07:29:24

%S 81,2337,92067,3685017,149128385,6050598339,245698677999,

%T 9979662714381,405380056659145,16467175046293207,668927350000203943,

%U 27173135930635192613,1103826618460521163805,44839633474092471048067

%N Number of nX5 0..3 arrays with no element x(i,j) adjacent to value 3-x(i,j) horizontally, vertically, diagonally or antidiagonally, and top left element zero

%C Column 5 of A233026

%H R. H. Hardin, <a href="/A233023/b233023.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 59*a(n-1) -780*a(n-2) +619*a(n-3) +32493*a(n-4) -90013*a(n-5) -408784*a(n-6) +1361086*a(n-7) +1750387*a(n-8) -6258928*a(n-9) -3161760*a(n-10) +10671769*a(n-11) +1911277*a(n-12) -7549998*a(n-13) +65894*a(n-14) +2257616*a(n-15) -323424*a(n-16) -231416*a(n-17) +54784*a(n-18) +784*a(n-19) -480*a(n-20)

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 03 2013

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Last modified April 25 07:53 EDT 2024. Contains 371964 sequences. (Running on oeis4.)