

A197064


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


1



3, 11, 76, 408, 2026, 10582, 55882, 292564, 1530151, 8011519, 41953630, 219665320, 1150106497, 6021786417, 31529327887, 165083020845, 864350463984, 4525614428894, 23695466872796, 124066050968884, 649591959407978
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OFFSET

1,1


COMMENTS

Every 0 is next to 0 4's, every 1 is next to 1 1's, every 2 is next to 2 3's, every 3 is next to 3 0's, every 4 is next to 4 2's
Column 3 of A197069


LINKS

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


FORMULA

Empirical: a(n) = 2*a(n1) +8*a(n2) +32*a(n3) +58*a(n4) +96*a(n5) +37*a(n6) 10*a(n7) 4*a(n8) 26*a(n9) +3*a(n10) 2*a(n11) a(n12) for n>13


EXAMPLE

Some solutions for n=4
..0..0..0....0..3..0....0..0..0....0..3..0....0..1..1....0..1..1....1..0..0
..1..1..0....1..0..0....0..0..0....3..0..3....0..0..0....0..3..0....1..0..3
..0..0..0....1..0..0....3..0..3....0..0..0....0..0..0....3..0..1....0..0..0
..1..1..0....0..1..1....0..3..0....1..1..0....0..0..0....0..0..1....0..3..0


CROSSREFS

Sequence in context: A239658 A181388 A196691 * A117765 A220146 A046153
Adjacent sequences: A197061 A197062 A197063 * A197065 A197066 A197067


KEYWORD

nonn


AUTHOR

R. H. Hardin Oct 09 2011


STATUS

approved



