cp's OEIS Frontend

A233241 Number of 3Xn 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.

%I A233241 #6 Jul 23 2025 07:58:05
%S A233241 11,313,18744,1212549,79794804,5267525102,347931872810,22984197561232,
%T A233241 1518355064369787,100304170431867107,6626206197404526693,
%U A233241 437734684222631005909,28917249596515421269798,1910306307000347264023968
%N A233241 Number of 3Xn 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, diagonally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order.
%C A233241 Row 3 of A233239
%H A233241 R. H. Hardin, <a href="/A233241/b233241.txt">Table of n, a(n) for n = 1..210</a>
%F A233241 Empirical: a(n) = 79*a(n-1) -844*a(n-2) -956*a(n-3) +16385*a(n-4) -10631*a(n-5) -45620*a(n-6) +63092*a(n-7) -24384*a(n-8) +2880*a(n-9) for n>10
%e A233241 Some solutions for n=3
%e A233241 ..0..1..2....0..1..0....0..1..2....0..1..5....0..1..1....0..1..2....0..1..0
%e A233241 ..5..4..2....0..0..0....3..1..0....2..1..0....0..2..2....1..2..2....1..0..2
%e A233241 ..2..2..5....4..0..2....1..1..1....2..0..2....0..2..2....0..2..2....1..5..4
%K A233241 nonn
%O A233241 1,1
%A A233241 _R. H. Hardin_, Dec 06 2013