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A240334
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Number of nX3 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4
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1
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7, 48, 316, 1543, 6271, 22116, 69596, 199504, 528924, 1310622, 3062243, 6794265, 14399820, 29296378, 57452518, 108986486, 200594945, 359164115, 627034377, 1069540186, 1785635484, 2922647926, 4696491195, 7419012596, 11534573228
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OFFSET
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1,1
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COMMENTS
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Column 3 of A240338
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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) = (1/1556755200)*n^13 + (13/479001600)*n^12 + (709/239500800)*n^11 - (1097/43545600)*n^10 + (4523/2419200)*n^9 - (600197/14515200)*n^8 + (21519737/21772800)*n^7 - (738857411/43545600)*n^6 + (5266122739/21772800)*n^5 - (29277165523/10886400)*n^4 + (450145058857/19958400)*n^3 - (224785067849/1663200)*n^2 + (23586754661/45045)*n - 987842 for n>12
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EXAMPLE
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Some solutions for n=4
..0..3..0....0..0..0....3..0..0....0..0..0....0..0..3....0..0..3....0..0..3
..0..0..3....0..0..0....0..3..0....0..3..0....3..0..3....3..0..3....0..0..3
..0..3..0....0..3..3....3..3..1....0..0..3....0..3..3....3..3..3....0..3..2
..3..2..2....0..0..3....3..2..2....0..0..3....3..3..2....3..3..2....3..3..3
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CROSSREFS
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Sequence in context: A088143 A124880 A227100 * A171312 A186161 A081106
Adjacent sequences: A240331 A240332 A240333 * A240335 A240336 A240337
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Apr 04 2014
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STATUS
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approved
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