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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A232391

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

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: A327089 A016728 A238240 * A275155 A259634 A327836

Adjacent sequences:  A232382 A232383 A232384 * A232386 A232387 A232388

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 23 2013

STATUS

approved

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Last modified September 23 18:51 EDT 2020. Contains 337315 sequences. (Running on oeis4.)