A281322 - OEIS

A281322

Number of nX4 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%I #4 Jan 20 2017 09:43:41

%S 2,394,21734,953236,37854870,1420883314,51413566384,1813061036754,

%T 62727044483806,2138467742923228,72055764763969422,

%U 2404909539462228154,79633692821692812712,2619397411313883712026,85670871878295276005590

%N Number of nX4 0..2 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%C Column 4 of A281326.

%H R. H. Hardin, <a href="/A281322/b281322.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 58*a(n-1) -753*a(n-2) -2606*a(n-3) -532*a(n-4) +7074*a(n-5) +6399*a(n-6) -4374*a(n-7) -6561*a(n-8) for n>9

%e Some solutions for n=3

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

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

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

%Y Cf. A281326.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 20 2017