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A196900 Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,3,1,0,2 for x=0,1,2,3,4 1
1, 7, 71, 401, 2975, 20191, 141833, 986015, 6866117, 47832829, 333044999, 2319651781, 16154076631, 112501830469, 783493377407, 5456430897109, 38000064950619, 264641895220837, 1843034804766363, 12835364615219383 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

Column 4 of A196904

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +29*a(n-2) -30*a(n-3) -227*a(n-4) +183*a(n-5) +345*a(n-6) -1223*a(n-7) +1953*a(n-8) +1175*a(n-9) -3050*a(n-10) +1433*a(n-11) +1011*a(n-12) -2381*a(n-13) -297*a(n-14) +1000*a(n-15) +282*a(n-16) -176*a(n-17) -85*a(n-18) +20*a(n-19) +6*a(n-20) -a(n-21)

EXAMPLE

Some solutions for n=5

..0..0..0..0....0..3..0..0....0..0..3..0....0..0..3..0....0..0..0..0

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

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

..0..3..0..3....0..0..0..0....3..0..0..0....3..0..0..3....0..0..0..0

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

CROSSREFS

Sequence in context: A107601 A175863 A196742 * A319963 A198966 A069591

Adjacent sequences:  A196897 A196898 A196899 * A196901 A196902 A196903

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 07 2011

STATUS

approved

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Last modified August 7 06:02 EDT 2020. Contains 336274 sequences. (Running on oeis4.)