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A205623 Number of (n+1)X6 0..2 arrays with every 2X2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..2 introduced in row major order 1

%I #5 Mar 31 2012 12:37:06

%S 3074,43248,708300,11438856,188139156,3042034560,50032728864,

%T 809272164864,13306390815072,215291512025088,3538911397147392,

%U 57273957730844160,941198542228997376,15236505936023298048

%N Number of (n+1)X6 0..2 arrays with every 2X2 subblock in a row having an equal number of equal diagonal or equal antidiagonal elements, adjacent rows differing in this number, and new values 0..2 introduced in row major order

%C Column 5 of A205626

%H R. H. Hardin, <a href="/A205623/b205623.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 264*a(n-2) +80*a(n-3) -648*a(n-4) -1536*a(n-5) -8384*a(n-6) -65536*a(n-8) for n>9

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 29 2012

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Last modified April 25 12:53 EDT 2024. Contains 371969 sequences. (Running on oeis4.)