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A240334
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
1
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
OFFSET
1,1
COMMENTS
Column 3 of A240338
LINKS
FORMULA
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
EXAMPLE
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
CROSSREFS
Sequence in context: A088143 A124880 A227100 * A171312 A186161 A370037
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 04 2014
STATUS
approved