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 A204483 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order 9

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

%S 80,307,307,1157,1326,1157,1899,3147,3147,1899,7191,2745,608,2745,

%T 7191,24718,8114,1587,1587,8114,24718,70726,29959,2632,1482,2632,

%U 29959,70726,277992,111707,9290,3270,3270,9290,111707,277992,996500,425010,34964

%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order

%C Table starts

%C .....80....307...1157...1899...7191..24718..70726.277992..996500.3558732

%C ....307...1326...3147...2745...8114..29959.111707.425010.1602835.6076455

%C ...1157...3147....608...1587...2632...9290..34964.124697..471260.1787757

%C ...1899...2745...1587...1482...3270..11364..33788.125749..476619.1783368

%C ...7191...8114...2632...3270...6494..11338..35990.132258..473380.1786812

%C ..24718..29959...9290..11364..11338..18410..47369.133889..481694.1808046

%C ..70726.111707..34964..33788..35990..47369..66580.159783..520508.1817618

%C .277992.425010.124697.125749.132258.133889.159783.265906..597389.1914547

%H R. H. Hardin, <a href="/A204483/b204483.txt">Table of n, a(n) for n = 1..241</a>

%F Empirical for column k:

%F k=1: (order 33 recurrence)

%F k=2..7: a(n) = 4*a(n-1) +a(n-2) -2*a(n-3) -19*a(n-4) -4*a(n-5) +21*a(n-6) +24*a(n-7) +3*a(n-8) -18*a(n-9) -9*a(n-10) for n>13

%e Some solutions for n=3 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 15 2012

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Last modified September 21 02:47 EDT 2023. Contains 365486 sequences. (Running on oeis4.)