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A206631 Number of (n+1) X 5 0..2 arrays with every 2 X 3 or 3 X 2 subblock having no more than four equal edges, and new values 0..2 introduced in row major order. 1

%I

%S 9729,2309200,548812835,130424683977,30995204476194,7365962082764193,

%T 1750509332449744133,416005797001053603530,98863125127708691660391,

%U 23494666613322778190102135,5583470667743721282474810860

%N Number of (n+1) X 5 0..2 arrays with every 2 X 3 or 3 X 2 subblock having no more than four equal edges, and new values 0..2 introduced in row major order.

%C Column 4 of A206635.

%H R. H. Hardin, <a href="/A206631/b206631.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 200*a(n-1) +8019*a(n-2) +212850*a(n-3) +1791825*a(n-4) +10193932*a(n-5) -153523984*a(n-6) +1400513402*a(n-7) -14595701184*a(n-8) +63361541608*a(n-9) -318507890248*a(n-10) +1072398618504*a(n-11) -2729587607696*a(n-12) +9386032798640*a(n-13) -19591166905600*a(n-14) +30705316657664*a(n-15) -71422982097664*a(n-16) +82765088625152*a(n-17) -56333612907520*a(n-18) +125995858063360*a(n-19) -11670533963776*a(n-20) -83402072440832*a(n-21) -88610306424832*a(n-22) -11808913489920*a(n-23) -14131206291456*a(n-24) -21679552069632*a(n-25) -14978761359360*a(n-26) -2076969009152*a(n-27) -270582939648*a(n-28) -401042571264*a(n-29) -173946175488*a(n-30).

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A206635.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 10 2012

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Last modified February 2 11:35 EST 2023. Contains 360011 sequences. (Running on oeis4.)