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A204050 Number of (n+2)X4 0..3 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order 1

%I #5 Mar 31 2012 12:37:00

%S 10447,112362,756338,5883499,45689226,361569647,2777961511,

%T 21501371450,166160922266,1291534099042,10003568767059,77546108106626,

%U 600524809842067,4655276167460819,36072762678121778,279581381767181194

%N Number of (n+2)X4 0..3 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

%C Column 2 of A204056

%H R. H. Hardin, <a href="/A204050/b204050.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +5*a(n-2) -99*a(n-3) +724*a(n-4) -2536*a(n-5) -3590*a(n-6) +1687*a(n-7) +11959*a(n-8) +163995*a(n-9) +260790*a(n-10) -1081279*a(n-11) +60097*a(n-12) -364566*a(n-13) -8610867*a(n-14) +6484656*a(n-15) +14892705*a(n-16) +9662463*a(n-17) -7454322*a(n-18) -21790782*a(n-19) -17972280*a(n-20) +16159257*a(n-21) +13997529*a(n-22) -3470769*a(n-23) +1062882*a(n-24) -2539107*a(n-25) +531441*a(n-26) for n>27

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 09 2012

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Last modified May 10 04:35 EDT 2024. Contains 372356 sequences. (Running on oeis4.)