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A222441 Number of nX5 0..3 arrays with entries increasing mod 4 by 0, 1 or 2 rightwards and downwards, starting with upper left zero.

%I A222441 #6 Jul 23 2025 02:35:37
%S A222441 81,7203,642249,57289767,5110723191,455924913093,40672916404629,
%T A222441 3628419487925547,323690312271131451,28876324830999722133,
%U A222441 2576049100980154511889,229808641254065144560647
%N A222441 Number of nX5 0..3 arrays with entries increasing mod 4 by 0, 1 or 2 rightwards and downwards, starting with upper left zero.
%C A222441 Column 5 of A222444
%H A222441 R. H. Hardin, <a href="/A222441/b222441.txt">Table of n, a(n) for n = 1..210</a>
%F A222441 Empirical: a(n) = 118*a(n-1) -2811*a(n-2) +22255*a(n-3) -53860*a(n-4) -54747*a(n-5) +269406*a(n-6) -175392*a(n-7)
%e A222441 Some solutions for n=3
%e A222441 ..0..0..2..2..2....0..0..0..2..2....0..0..2..2..2....0..0..0..0..0
%e A222441 ..2..2..0..0..2....1..2..2..0..0....1..1..2..2..2....0..0..1..2..0
%e A222441 ..2..3..1..1..2....2..3..0..1..2....1..2..0..2..0....2..0..2..0..2
%K A222441 nonn
%O A222441 1,1
%A A222441 _R. H. Hardin_ Feb 20 2013