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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
8, 78, 722, 6376, 55680, 483926, 4195892, 36331704, 314419494, 2720368268, 23533966824, 203581060386, 1761035569834, 15233285577406, 131769992524528, 1139825195601708, 9859602783973302, 85286505357091706, 737736199939312976
OFFSET
1,1
COMMENTS
Column 3 of A240347
LINKS
FORMULA
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)
EXAMPLE
Some solutions for n=4
..2..2..0....2..0..0....0..2..2....0..0..0....0..0..2....0..0..0....0..2..0
..2..2..0....0..0..0....0..2..0....0..2..0....2..2..0....0..2..0....0..2..0
..0..2..2....2..0..2....0..0..2....0..0..2....0..0..0....0..2..2....0..0..3
..0..0..2....2..2..0....2..0..0....0..2..1....2..0..0....2..0..0....0..0..2
CROSSREFS
Sequence in context: A347322 A202732 A222191 * A155600 A091106 A199758
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 04 2014
STATUS
approved