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A196480 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,0,2,1,4 for x=0,1,2,3,4 1
4, 14, 40, 147, 457, 1554, 5370, 17678, 58836, 199055, 666719, 2226571, 7472355, 25062544, 83919602, 281223942, 942759343, 3159073709, 10585785571, 35477873281, 118895583561, 398433388350, 1335248565663, 4474760498199 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Every 0 is next to 0 3'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 4's

Column 3 of A196485

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +16*a(n-3) -22*a(n-4) +a(n-5) +13*a(n-6) -47*a(n-7) -4*a(n-8) -20*a(n-9) -46*a(n-10) +68*a(n-11) +112*a(n-12) -121*a(n-13) +243*a(n-14) -56*a(n-15) +275*a(n-16) +347*a(n-17) +286*a(n-18) +198*a(n-19) +28*a(n-20) +7*a(n-21) -9*a(n-22) -5*a(n-23) +2*a(n-24) for n>25

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Sequence in context: A238117 A032285 A196451 * A326008 A196713 A261547

Adjacent sequences:  A196477 A196478 A196479 * A196481 A196482 A196483

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 03 2011

STATUS

approved

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Last modified December 8 18:37 EST 2019. Contains 329865 sequences. (Running on oeis4.)