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A232385
Number of (n+1)X(2+1) 0..3 arrays with every element next to itself plus and minus one within the range 0..3 horizontally, vertically or antidiagonally, with no adjacent elements equal
1
18, 64, 192, 840, 3246, 12818, 51240, 203104, 809436, 3222418, 12842530, 51200418, 204173560, 814433476, 3249025434, 12962845362, 51721055986, 206371682824, 823458800224, 3285784448274, 13111130921510, 52317080184316
OFFSET
1,1
COMMENTS
Column 2 of A232391
LINKS
FORMULA
Empirical: a(n) = 8*a(n-1) -12*a(n-2) -46*a(n-3) +114*a(n-4) +144*a(n-5) -515*a(n-6) -92*a(n-7) +1013*a(n-8) -174*a(n-9) -1106*a(n-10) -180*a(n-11) +1863*a(n-12) +1362*a(n-13) -1357*a(n-14) -4530*a(n-15) -4185*a(n-16) +2834*a(n-17) +10896*a(n-18) +23586*a(n-19) +20961*a(n-20) -27828*a(n-21) -85764*a(n-22) -67736*a(n-23) +16447*a(n-24) +51480*a(n-25) +18353*a(n-26) +24172*a(n-27) +46154*a(n-28) -23844*a(n-29) -138921*a(n-30) -121870*a(n-31) +20563*a(n-32) +112782*a(n-33) +73329*a(n-34) -13992*a(n-35) -47929*a(n-36) -26326*a(n-37) -1725*a(n-38) +4784*a(n-39) +2921*a(n-40) +938*a(n-41) +190*a(n-42) +16*a(n-43) -a(n-44)
EXAMPLE
Some solutions for n=7
..2..1..0....3..0..2....1..0..3....2..3..1....3..1..2....0..1..2....3..2..3
..3..2..3....2..1..3....2..1..2....1..0..2....2..0..3....2..0..3....1..0..2
..1..0..1....3..0..1....3..0..3....2..1..3....3..1..2....3..1..2....3..1..0
..2..3..2....1..3..2....2..1..0....3..0..2....0..3..1....2..3..0....2..3..2
..1..0..1....2..0..3....0..2..3....2..1..0....1..2..0....1..2..1....0..1..3
..3..2..3....3..1..2....1..0..1....0..2..1....0..3..2....0..3..2....3..0..2
..1..0..1....2..0..1....2..3..2....1..3..2....1..0..1....2..0..1....2..1..0
..2..3..2....3..2..0....1..0..3....2..0..1....2..3..0....1..2..3....3..2..3
CROSSREFS
Sequence in context: A090073 A327089 A016728 * A275155 A259634 A327836
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 23 2013
STATUS
approved