cp's OEIS Frontend

A222140 Number of n X 4 0..4 arrays with no entry increasing mod 5 by 4 rightwards or downwards, starting with upper left zero.

%I A222140 #8 Mar 14 2018 14:11:45
%S A222140 64,8788,1206964,165770032,22767656980,3127020364012,429480137694664,
%T A222140 58986884432558548,8101544704688334244,1112705429924911477552,
%U A222140 152824358676750267429220,20989638386627725143014812
%N A222140 Number of n X 4 0..4 arrays with no entry increasing mod 5 by 4 rightwards or downwards, starting with upper left zero.
%C A222140 Column 4 of A222144.
%H A222140 R. H. Hardin, <a href="/A222140/b222140.txt">Table of n, a(n) for n = 1..210</a>
%F A222140 Empirical: a(n) = 153*a(n-1) - 2197*a(n-2) + 6434*a(n-3).
%F A222140 Empirical g.f.: 4*x*(16 - 251*x + 752*x^2) / (1 - 153*x + 2197*x^2 - 6434*x^3). - _Colin Barker_, Mar 14 2018
%e A222140 Some solutions for n=3:
%e A222140 ..0..0..1..2....0..0..1..2....0..1..1..2....0..0..1..4....0..1..1..2
%e A222140 ..0..3..4..2....0..3..4..2....1..4..1..3....1..1..4..0....0..3..4..0
%e A222140 ..0..1..1..2....2..3..0..3....3..0..1..1....1..2..4..1....2..0..2..0
%Y A222140 Cf. A222144.
%K A222140 nonn
%O A222140 1,1
%A A222140 _R. H. Hardin_, Feb 09 2013