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A204148 Number of (n+2)X5 0..2 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order 1

%I #5 Mar 31 2012 12:37:01

%S 22262,156494,844136,4683434,26968208,152500334,864266300,4899355202,

%T 27659513336,156403395974,885488808860,5010133294922,28351229796320,

%U 160432064183822,907680953036564,5135781562487282,29060183003735912

%N Number of (n+2)X5 0..2 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..2 introduced in row major order

%C Column 3 of A204153

%H R. H. Hardin, <a href="/A204148/b204148.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -5*a(n-2) +24*a(n-3) -90*a(n-4) +324*a(n-5) +678*a(n-6) -4752*a(n-7) -176*a(n-8) -2976*a(n-9) +29432*a(n-10) -1248*a(n-11) -59232*a(n-12) +123264*a(n-13) -85248*a(n-14) +193536*a(n-15) -525312*a(n-16) +331776*a(n-17) for n>18

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 11 2012

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Last modified April 25 09:28 EDT 2024. Contains 371967 sequences. (Running on oeis4.)