

A196597


Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,2,4,0,3 for x=0,1,2,3,4


2



1, 7, 37, 129, 667, 2783, 12515, 55513, 245289, 1088893, 4822927, 21375111, 94733197, 419809045, 1860501635, 8245134291, 36539888027, 161933744951, 717640229759, 3180361894219, 14094387608445, 62461999300427
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OFFSET

1,2


COMMENTS

Every 0 is next to 0 1's, every 1 is next to 1 2's, every 2 is next to 2 4's, every 3 is next to 3 0's, every 4 is next to 4 3's
Column 4 of A196601


LINKS

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


FORMULA

Empirical: a(n) = 2*a(n1) +9*a(n2) +10*a(n3) 9*a(n4) 3*a(n5) +6*a(n6) 5*a(n7) +a(n8)


EXAMPLE

Some solutions for n=5
..0..3..0..0....0..3..0..0....0..3..0..0....0..3..0..0....0..0..3..0
..3..0..0..3....0..0..0..0....3..0..0..0....0..0..0..0....3..0..0..0
..0..3..3..0....0..0..0..0....0..3..3..0....0..3..3..0....0..0..0..0
..0..0..0..3....0..0..0..3....3..0..0..0....0..0..0..0....0..0..0..3
..0..0..3..0....0..0..0..0....0..3..0..0....0..0..3..0....0..0..0..0


CROSSREFS

Sequence in context: A136204 A139891 A082113 * A143991 A243893 A012885
Adjacent sequences: A196594 A196595 A196596 * A196598 A196599 A196600


KEYWORD

nonn


AUTHOR

R. H. Hardin Oct 04 2011


STATUS

approved



