A275181 Number of nX6 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2.

122, 1024, 1129, 1651, 6081, 23313, 90793, 355258, 1392050, 5466938, 21539426, 85093786, 336588196, 1331473727, 5265942503, 20828817622, 82420863039, 326283110365, 1291905762290, 5114955533848, 20248639590431, 80153872862995

Offset

1,1

Comments

Column 6 of A275183.

Links

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

Formula

Empirical: a(n) = 32*a(n-1) -496*a(n-2) +4961*a(n-3) -35960*a(n-4) +201091*a(n-5) -902032*a(n-6) +3333981*a(n-7) -10358635*a(n-8) +27489359*a(n-9) -63147252*a(n-10) +127012656*a(n-11) -225853366*a(n-12) +357739737*a(n-13) -507298821*a(n-14) +645538311*a(n-15) -736806613*a(n-16) +752032038*a(n-17) -682548311*a(n-18) +546209109*a(n-19) -380703800*a(n-20) +226996531*a(n-21) -112609944*a(n-22) +44283885*a(n-23) -12407657*a(n-24) +1618639*a(n-25) +454684*a(n-26) -304782*a(n-27) +64173*a(n-28) +1145*a(n-29) -3123*a(n-30) +439*a(n-31) +34*a(n-32) -12*a(n-33) -a(n-34) for n>39

Example

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

Crossrefs

Cf. A275183.

Sequence in context: A229722 A092775 A238033 * A275129 A281060 A274726

Adjacent sequences: A275178 A275179 A275180 * A275182 A275183 A275184

Keyword

nonn

Author

R. H. Hardin, Jul 19 2016

Status

approved