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A196295 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,0,1,4,2 for x=0,1,2,3,4 1
4, 20, 58, 290, 1201, 4988, 21344, 90150, 381754, 1621695, 6890299, 29235310, 124148208, 527208582, 2238746157, 9507860508, 40379986769, 171493157818, 728338492990, 3093321027043, 13137679999737, 55797480705949 (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 1's, every 3 is next to 3 4's, every 4 is next to 4 2's

Column 3 of A196300

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) -2*a(n-3) -3*a(n-4) -28*a(n-5) -108*a(n-6) -553*a(n-7) -1487*a(n-8) -406*a(n-9) +1679*a(n-10) +7367*a(n-11) +29776*a(n-12) +40461*a(n-13) +40921*a(n-14) +25939*a(n-15) +4942*a(n-16) -5887*a(n-17) -21877*a(n-18) -27360*a(n-19) -19016*a(n-20) +284*a(n-21) +3863*a(n-22) -2168*a(n-23) -3302*a(n-24) +3474*a(n-25) +1158*a(n-26) -171*a(n-27) -1312*a(n-28) +650*a(n-29) -96*a(n-30) +70*a(n-31) -18*a(n-32)

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Sequence in context: A127920 A060122 A066970 * A196213 A196680 A033488

Adjacent sequences:  A196292 A196293 A196294 * A196296 A196297 A196298

KEYWORD

nonn

AUTHOR

R. H. Hardin Sep 30 2011

STATUS

approved

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Last modified September 24 14:00 EDT 2020. Contains 337321 sequences. (Running on oeis4.)