A240640 - OEIS

%I #6 Jul 23 2025 11:03:57

%S 14,1391,138882,13897353,1390560136,139138607313,13922129807222,

%T 1393040370960551,139386826311366370,13946966455660995272,

%U 1395525520882666188438,139635488877223680141555

%N Number of nX5 0..3 arrays with no element equal to one or three horizontal or vertical neighbors, with new values 0..3 introduced in row major order.

%C Column 5 of A240642

%H R. H. Hardin, <a href="/A240640/b240640.txt">Table of n, a(n) for n = 1..170</a>

%F Empirical: a(n) = 111*a(n-1) -772*a(n-2) -34228*a(n-3) +174012*a(n-4) +2395828*a(n-5) -38808408*a(n-6) -190441676*a(n-7) +3246351580*a(n-8) +38955087948*a(n-9) -171618016473*a(n-10) -2625723294669*a(n-11) +8213124848616*a(n-12) +237046913056584*a(n-13) +1029825057566952*a(n-14) -4346095928227560*a(n-15) -47983334118510384*a(n-16) -51574555681638984*a(n-17) +498117021842941416*a(n-18) +953486319823262856*a(n-19) -1441781359683790347*a(n-20) +1729071802238452461*a(n-21) +23206083058111459356*a(n-22) +52045886403080488044*a(n-23) -94013190067975546788*a(n-24) -837432789047700448716*a(n-25) -986451988025969071992*a(n-26) -23154516715364226540*a(n-27) -52544240475082803396*a(n-28) +93058673884139455020*a(n-29) +838878916674928087269*a(n-30) +984770902183611232881*a(n-31)

%e Some solutions for n=3

%e ..0..1..0..2..0....0..1..0..2..1....0..1..2..0..2....0..1..2..1..0

%e ..2..0..2..0..1....2..0..2..0..2....2..2..0..2..1....3..2..0..3..1

%e ..0..1..0..1..0....1..3..1..2..0....2..2..3..1..0....2..0..3..0..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 09 2014