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

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

R. H. Hardin, Table of n, a(n) for n = 1..210

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 A081106

Adjacent sequences: A240331 A240332 A240333 * A240335 A240336 A240337

Keyword

nonn

Author

R. H. Hardin, Apr 04 2014

Status

approved