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A204567 Number of (n+1)X4 0..3 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order 1

%I

%S 256,6112,158981,4220392,112592256,3007468553,80358249724,

%T 2147311723128,57381098807117,1533363080745712,40975264290787104,

%U 1094961088264570145,29260089513854569828,781902543548899924344,20894385553758379097861

%N Number of (n+1)X4 0..3 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

%C Column 3 of A204572

%H R. H. Hardin, <a href="/A204567/b204567.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 41*a(n-1) -451*a(n-2) +2007*a(n-3) -4185*a(n-4) +4371*a(n-5) -2214*a(n-6) +432*a(n-7)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 16 2012

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Last modified February 7 17:57 EST 2023. Contains 360128 sequences. (Running on oeis4.)