

A196451


Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,0,2,4,1 for x=0,1,2,3,4


1



4, 14, 40, 131, 383, 1232, 3966, 12314, 38745, 122989, 386667, 1216157, 3839910, 12101854, 38109643, 120144068, 378709117, 1193259020, 3760674157, 11852918903, 37353389828, 117718989595, 371005905259, 1169236902187, 3684870558556
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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 2's, every 3 is next to 3 4's, every 4 is next to 4 1's
Column 3 of A196456


LINKS

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


FORMULA

Empirical: a(n) = 4*a(n1) 5*a(n2) +15*a(n3) 28*a(n4) +13*a(n5) a(n6) 8*a(n7) +6*a(n8) +12*a(n9) 46*a(n10) +27*a(n11) 28*a(n12) +83*a(n13) 5*a(n14) +25*a(n15) 23*a(n16) 4*a(n18)


EXAMPLE

Some solutions for n=4
..0..0..1....1..0..1....0..0..0....0..2..2....1..1..0....0..0..0....0..2..2
..0..0..1....1..0..1....0..2..2....0..2..2....0..1..1....1..1..1....0..2..2
..2..2..1....1..2..2....0..2..2....0..1..1....0..2..2....1..1..1....0..0..0
..2..2..0....0..2..2....0..0..1....1..1..0....0..2..2....0..0..0....1..1..1


CROSSREFS

Sequence in context: A202900 A238117 A032285 * A196480 A326008 A196713
Adjacent sequences: A196448 A196449 A196450 * A196452 A196453 A196454


KEYWORD

nonn


AUTHOR

R. H. Hardin Oct 02 2011


STATUS

approved



