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A197403 Number of nX2 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,0,1,1,1 for x=0,1,2,3,4 2
3, 9, 20, 71, 227, 664, 2107, 6675, 20696, 65029, 205057, 643930, 2026105, 6384135, 20104382, 63329883, 199576691, 628932096, 1982100085, 6247388117, 19691746204, 62069757373, 195654894641, 616749232724, 1944155102539, 6128552692107 (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 1's, every 4 is next to 4 1's

Column 2 of A197409

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) +7*a(n-3) -10*a(n-4) -39*a(n-5) -30*a(n-6) -12*a(n-7) +5*a(n-8) +2*a(n-9)

EXAMPLE

Some solutions for n=4

..1..0....1..0....1..0....0..1....1..0....0..0....0..1....0..1....1..0....1..0

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

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

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

CROSSREFS

Sequence in context: A196294 A196212 A146219 * A128127 A006077 A109612

Adjacent sequences:  A197400 A197401 A197402 * A197404 A197405 A197406

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 14 2011

STATUS

approved

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Last modified May 18 11:13 EDT 2013. Contains 225419 sequences.