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A230783
Number of nX3 0..3 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, and upper left element zero
1
0, 86, 3332, 117372, 4321988, 159055144, 5846988064, 214974074284, 7903905847272, 290600068689772, 10684393830522664, 392829476167162828, 14443027626954183676, 531021881283566785256, 19523900783404685755304
OFFSET
1,2
COMMENTS
Column 3 of A230787
LINKS
FORMULA
Empirical: a(n) = 31*a(n-1) +177*a(n-2) +1333*a(n-3) -1130*a(n-4) -15968*a(n-5) -130308*a(n-6) -419700*a(n-7) -231195*a(n-8) +410513*a(n-9) +489595*a(n-10) +52887*a(n-11) -643618*a(n-12) -423112*a(n-13) +527744*a(n-14) +729952*a(n-15) +346624*a(n-16) -296640*a(n-17) -370816*a(n-18) -59392*a(n-19) +24576*a(n-20)
EXAMPLE
Some solutions for n=3
..0..1..0....0..1..2....0..0..2....0..3..1....0..0..3....0..0..0....0..2..1
..3..2..3....2..3..0....0..1..3....2..1..2....2..1..0....3..1..3....1..0..3
..2..1..1....1..2..1....0..3..0....1..0..1....0..3..3....0..2..2....3..3..3
CROSSREFS
Sequence in context: A224307 A224371 A055534 * A017802 A035738 A017749
KEYWORD
nonn
AUTHOR
R. H. Hardin, Oct 30 2013
STATUS
approved