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A196632
Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,3,2,0,4 for x=0,1,2,3,4
2
1, 10, 62, 327, 1927, 10708, 61040, 344949, 1953280, 11058838, 62603964, 354440028, 2006561317, 11359957121, 64312714711, 364097413550, 2061286075359, 11669680495150, 66066258785133, 374024808089191, 2117488804412111
OFFSET
1,2
COMMENTS
Every 0 is next to 0 1's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 0's, every 4 is next to 4 4's
Column 4 of A196636
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) +3*a(n-2) +11*a(n-3) -7*a(n-4) -152*a(n-5) -246*a(n-6) +567*a(n-7) -29*a(n-8) +56*a(n-9) -254*a(n-10) +605*a(n-11) -634*a(n-12) -182*a(n-13) -31*a(n-14) -76*a(n-15) -17*a(n-16) +49*a(n-17) +203*a(n-18) -49*a(n-19) +21*a(n-20) -17*a(n-21) -7*a(n-22) -2*a(n-24)
EXAMPLE
Some solutions for n=5
..0..0..0..0....2..2..2..0....0..2..2..0....0..0..0..0....2..2..0..0
..0..0..0..0....2..0..2..0....0..2..2..0....2..2..0..0....2..2..3..0
..3..0..2..2....2..2..2..0....0..3..0..3....2..2..0..0....0..0..0..3
..0..0..2..2....0..3..0..0....0..0..0..0....0..0..0..3....0..3..3..0
..0..0..0..0....0..0..0..0....0..3..0..0....0..3..0..0....0..0..0..0
CROSSREFS
Sequence in context: A106629 A240157 A350644 * A289799 A027254 A370764
KEYWORD
nonn
AUTHOR
R. H. Hardin Oct 04 2011
STATUS
approved