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A240291
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Number of nX3 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4
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1
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8, 26, 206, 974, 8064, 38252, 316962, 1502948, 12468758, 59122266, 490548594, 2326075252, 19300603720, 91520046552, 759392572070, 3600913438102, 29878821186710, 141680483207634, 1175603702913842, 5574521174572456
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OFFSET
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1,1
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COMMENTS
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Column 3 of A240295
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = 63*a(n-2) -1109*a(n-4) +7143*a(n-6) -395*a(n-8) -201246*a(n-10) +762860*a(n-12) +347011*a(n-14) -7366154*a(n-16) +11744674*a(n-18) +3758987*a(n-20) +10095295*a(n-22) -126415852*a(n-24) +204390541*a(n-26) -65238786*a(n-28) -59211883*a(n-30) -114625640*a(n-32) +381020006*a(n-34) -342073760*a(n-36) +16725276*a(n-38) +181283664*a(n-40) -110895680*a(n-42) +16492080*a(n-44) +1175136*a(n-46) +390464*a(n-48) for n>50
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EXAMPLE
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Some solutions for n=4
..3..1..1....1..3..1....3..1..1....3..1..3....1..3..3....3..1..3....3..1..3
..3..2..2....1..0..0....3..2..2....3..0..2....1..2..0....3..0..0....3..2..0
..1..3..2....1..2..2....3..2..0....3..2..2....3..2..2....1..0..3....1..0..2
..3..1..1....3..2..3....1..0..0....1..2..0....1..3..2....3..2..2....3..2..0
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CROSSREFS
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Sequence in context: A223312 A194997 A089064 * A203635 A000810 A171740
Adjacent sequences: A240288 A240289 A240290 * A240292 A240293 A240294
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Apr 03 2014
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STATUS
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approved
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