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A197452 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,3,0,2,2 for x=0,1,2,3,4 1
2, 10, 31, 84, 290, 923, 2887, 9216, 29288, 92868, 294893, 936361, 2972409, 9436595, 29959267, 95112260, 301956214, 958634094, 3043413512, 9662045566, 30674490204, 97383543481, 309167462063, 981526438497, 3116091639355, 9892781977749 (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 3's, every 2 is next to 2 0's, every 3 is next to 3 2's, every 4 is next to 4 2's

Column 3 of A197457

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +4*a(n-2) +3*a(n-3) -7*a(n-4) -18*a(n-5) -5*a(n-6) +18*a(n-7) +31*a(n-8) +20*a(n-9) -5*a(n-10) -25*a(n-11) -18*a(n-12) -7*a(n-13) +3*a(n-14) +2*a(n-15)

EXAMPLE

Some solutions for n=4

..2..0..2....0..2..0....2..0..0....0..2..0....0..0..0....0..0..2....0..0..2

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

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

..0..2..0....0..0..2....0..0..0....2..0..0....0..2..0....0..0..0....0..2..0

CROSSREFS

Sequence in context: A051747 A193008 A024456 * A050927 A197302 A263782

Adjacent sequences:  A197449 A197450 A197451 * A197453 A197454 A197455

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 15 2011

STATUS

approved

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Last modified May 27 11:44 EDT 2022. Contains 354097 sequences. (Running on oeis4.)