cp's OEIS Frontend

A232334 Number of nX7 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally, with no adjacent elements equal.

%I A232334 #6 Jul 23 2025 07:19:16
%S A232334 26,388,5530,82526,1274656,20052758,318521414,5084744564,81376107850,
%T A232334 1303994749578,20908870281768,335369094519602,5380024352555430,
%U A232334 86313698646851076,1384816751017368294,22218432354426792578
%N A232334 Number of nX7 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally, with no adjacent elements equal.
%C A232334 Column 7 of A232335
%H A232334 R. H. Hardin, <a href="/A232334/b232334.txt">Table of n, a(n) for n = 1..210</a>
%F A232334 Empirical: a(n) = 25*a(n-1) -144*a(n-2) -39*a(n-3) +579*a(n-4) +2066*a(n-5) +138*a(n-6) -5848*a(n-7) -13546*a(n-8) -13582*a(n-9) -7801*a(n-10) -927*a(n-11) +968*a(n-12) +737*a(n-13) +11*a(n-14) +8*a(n-15) -20*a(n-16) for n>18
%e A232334 Some solutions for n=4
%e A232334 ..2..1..0..2..0..1..2....2..1..2..0..1..2..1....1..2..0..1..0..1..2
%e A232334 ..2..1..0..1..0..1..2....2..0..1..2..1..2..0....0..1..2..1..0..1..2
%e A232334 ..2..1..2..1..0..1..0....1..2..1..2..0..1..2....0..1..2..1..2..0..1
%e A232334 ..0..1..2..1..0..1..2....1..0..1..2..0..1..0....2..1..2..0..1..2..1
%K A232334 nonn
%O A232334 1,1
%A A232334 _R. H. Hardin_, Nov 22 2013