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A240343 Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or three plus the sum of the elements diagonally to its northwest, modulo 4 1

%I

%S 8,78,722,6376,55680,483926,4195892,36331704,314419494,2720368268,

%T 23533966824,203581060386,1761035569834,15233285577406,

%U 131769992524528,1139825195601708,9859602783973302,85286505357091706,737736199939312976

%N Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or three plus the sum of the elements diagonally to its northwest, modulo 4

%C Column 3 of A240347

%H R. H. Hardin, <a href="/A240343/b240343.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 18*a(n-1) -105*a(n-2) +200*a(n-3) +242*a(n-4) -2119*a(n-5) +7083*a(n-6) -9004*a(n-7) -24192*a(n-8) +72426*a(n-9) -3118*a(n-10) -103236*a(n-11) -4239*a(n-12) +64281*a(n-13) +119026*a(n-14) -161710*a(n-15) +142844*a(n-16) -25892*a(n-17) -337024*a(n-18) +223288*a(n-19) +175280*a(n-20) -145120*a(n-21) -22528*a(n-22) +23040*a(n-23)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 04 2014

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Last modified May 6 14:16 EDT 2021. Contains 343586 sequences. (Running on oeis4.)