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A196713 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,0,2,1,3 for x=0,1,2,3,4 1
4, 14, 40, 171, 543, 1984, 7368, 25698, 91687, 332017, 1186007, 4235449, 15208172, 54482712, 194977275, 698710198, 2503440997, 8965814332, 32118124605, 115063138815, 412164687036, 1476447370087, 5289072335399, 18946554005675 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Every 0 is next to 0 4's, every 1 is next to 1 0's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 3's

Column 3 of A196718

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 4*a(n-1) -3*a(n-2) +12*a(n-3) -22*a(n-4) -8*a(n-5) +39*a(n-6) -79*a(n-7) -147*a(n-8) +46*a(n-9) -13*a(n-10) +140*a(n-11) +701*a(n-12) -704*a(n-13) +732*a(n-14) -451*a(n-15) +1676*a(n-16) +1005*a(n-17) +1884*a(n-18) +296*a(n-19) +383*a(n-20) +244*a(n-21) +132*a(n-22) -160*a(n-23) -62*a(n-24) -10*a(n-25) +2*a(n-27)

EXAMPLE

Some solutions for n=4

..1..0..1....0..0..0....0..0..1....0..0..0....0..0..0....1..1..0....0..0..1

..2..2..1....0..0..0....2..2..2....1..1..1....1..1..1....0..1..1....0..2..2

..2..2..0....0..2..2....2..0..2....1..1..1....1..1..3....0..3..1....0..2..2

..1..0..0....0..2..2....2..2..2....0..0..0....0..0..1....1..1..0....0..0..1

CROSSREFS

Sequence in context: A196451 A196480 A326008 * A261547 A237853 A132357

Adjacent sequences:  A196710 A196711 A196712 * A196714 A196715 A196716

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 05 2011

STATUS

approved

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Last modified November 13 01:54 EST 2019. Contains 329085 sequences. (Running on oeis4.)