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A282271 Number of nX3 0..2 arrays with no element equal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards. 1

%I

%S 5,121,2992,75413,1899634,47863268,1205981686,30386443928,

%T 765630552308,19291173599548,486069136767792,12247217864778912,

%U 308586441935421320,7775283594972263888,195909562984166148304,4936225978108593107312

%N Number of nX3 0..2 arrays with no element equal to more than four of its king-move neighbors and with new values introduced in order 0 sequentially upwards.

%C Column 3 of A282275.

%H R. H. Hardin, <a href="/A282271/b282271.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 22*a(n-1) +82*a(n-2) +26*a(n-3) -1424*a(n-4) -3984*a(n-5) -1096*a(n-6) +20704*a(n-7) +29376*a(n-8) +22080*a(n-9) +2304*a(n-10) for n>11

%e Some solutions for n=4

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

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

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

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

%Y Cf. A282275.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 10 2017

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Last modified September 24 11:48 EDT 2022. Contains 356932 sequences. (Running on oeis4.)