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A196969 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,3,0,2,1 for x=0,1,2,3,4 1
2, 10, 34, 104, 386, 1380, 4800, 16794, 58875, 206084, 721260, 2525126, 8840855, 30952194, 108366098, 379400544, 1328316102, 4650549495, 16281977271, 57004611828, 199578061611, 698740003512, 2446349057586, 8564879222176 (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 3's, every 2 is next to 2 0's, every 3 is next to 3 2's, every 4 is next to 4 1's

Column 3 of A196974

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +5*a(n-2) +2*a(n-3) -2*a(n-4) -11*a(n-5) +a(n-6) +36*a(n-7) +50*a(n-8) +20*a(n-9) -20*a(n-10) -49*a(n-11) -42*a(n-12) -20*a(n-13) +4*a(n-14) +9*a(n-15) +2*a(n-16)

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Sequence in context: A022498 A036799 A190161 * A119193 A124634 A306099

Adjacent sequences:  A196966 A196967 A196968 * A196970 A196971 A196972

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 08 2011

STATUS

approved

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Last modified October 16 16:34 EDT 2019. Contains 328101 sequences. (Running on oeis4.)