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A269050 Number of n X 6 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once.

%I A269050 #6 Dec 29 2023 10:31:44
%S A269050 336,3288,58752,971844,15547380,242861616,3726221592,56376679620,
%T A269050 843461153880,12504078167988,183960496250712,2689028139554232,
%U A269050 39089999874219540,565531265339620620,8147584788387401052
%N A269050 Number of n X 6 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two not more than once.
%C A269050 Column 6 of A269052.
%H A269050 R. H. Hardin, <a href="/A269050/b269050.txt">Table of n, a(n) for n = 1..210</a>
%F A269050 Empirical: a(n) = 36*a(n-1) -436*a(n-2) +1854*a(n-3) +340*a(n-4) -19128*a(n-5) +23849*a(n-6) +56184*a(n-7) -108224*a(n-8) -40816*a(n-9) +160400*a(n-10) -34136*a(n-11) -83203*a(n-12) +42628*a(n-13) +6468*a(n-14) -6334*a(n-15) +204*a(n-16) +240*a(n-17) -25*a(n-18) for n>19.
%e A269050 Some solutions for n=3
%e A269050 ..0..0..0..1..0..1. .1..2..1..2..1..0. .2..2..1..0..1..0. .1..0..0..0..0..1
%e A269050 ..0..1..0..1..2..1. .2..2..1..2..1..0. .1..2..1..2..1..2. .0..0..1..0..1..0
%e A269050 ..0..1..0..1..2..2. .1..2..2..0..1..2. .2..2..1..0..1..2. .1..0..1..0..1..2
%Y A269050 Cf. A269052.
%K A269050 nonn
%O A269050 1,1
%A A269050 _R. H. Hardin_, Feb 18 2016