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A204494 Number of (n+2)X3 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally or vertically 1

%I #5 Mar 31 2012 12:37:02

%S 3971,46458,699151,6047817,65606908,797822969,8067170432,86968465645,

%T 981144743357,10426325449799,112695993317754,1239189017004142,

%U 13368905316841076,144830300667655992,1578871451817224540

%N Number of (n+2)X3 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally or vertically

%C Column 1 of A204501

%H R. H. Hardin, <a href="/A204494/b204494.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +26*a(n-2) +677*a(n-3) +1863*a(n-4) +3391*a(n-5) +2222*a(n-6) +485*a(n-7) -1392*a(n-8) -864*a(n-9) -324*a(n-10)

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 15 2012

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Last modified April 23 20:33 EDT 2024. Contains 371916 sequences. (Running on oeis4.)