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A282155 Number of nX2 0..2 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 1

%I

%S 0,0,1,82,1599,20256,217361,2130206,19642211,173364188,1480679925,

%T 12326158938,100519162375,805975115800,6371588959001,49768503975062,

%U 384745225377195,2947749198113620,22407054537298493,169141844731289554

%N Number of nX2 0..2 arrays with no element unequal to more than four of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

%C Column 2 of A282159.

%H R. H. Hardin, <a href="/A282155/b282155.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 21*a(n-1) -159*a(n-2) +559*a(n-3) -1332*a(n-4) +3408*a(n-5) -4888*a(n-6) +8256*a(n-7) -9024*a(n-8) +8512*a(n-9) -6912*a(n-10) +3072*a(n-11) -512*a(n-12)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A282159.

%K nonn

%O 1,4

%A _R. H. Hardin_, Feb 07 2017

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Last modified October 19 03:10 EDT 2021. Contains 348073 sequences. (Running on oeis4.)