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A222942
Number of n X 4 0..4 arrays with no element equal to another at a city block distance of exactly two, and new values 0..4 introduced in row major order.
1
7, 273, 5880, 130680, 2883000, 63772920, 1409319480, 31155452280, 688658403000, 15222762787320, 336492918625080, 7438082253365880, 164416380693123000, 3634373283904809720, 80336675486923162680, 1775817062973868911480
OFFSET
1,1
COMMENTS
Column 4 of A222944.
LINKS
FORMULA
Empirical: a(n) = 17*a(n-1) + 136*a(n-2) -512*a(n-3) for n>5.
Empirical g.f.: x*(7 + 154*x + 287*x^2 - 2824*x^3 + 1536*x^4) / ((1 + 8*x)*(1 - 25*x + 64*x^2)). - Colin Barker, Aug 16 2018
EXAMPLE
Some solutions for n=3:
..0..1..2..3....0..1..2..3....0..1..1..0....0..1..2..0....0..1..2..3
..2..1..4..3....3..4..2..0....2..3..3..0....3..1..4..3....4..1..2..4
..2..0..0..2....2..0..3..1....1..0..2..4....3..2..0..1....4..0..0..4
CROSSREFS
Cf. A222944.
Sequence in context: A140031 A066413 A332127 * A289634 A065581 A062646
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 09 2013
STATUS
approved