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A187722 Number of (n+1)X3 binary arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors 1
43, 174, 689, 2804, 11324, 46003, 186672, 758077, 3077859, 12497826, 50746523, 206054545, 836678679, 3397305868, 13794653865, 56012764479, 227438082864, 923505221937, 3749864236851, 15226206788800, 61825538083188 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A187729

LINKS

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

FORMULA

Empirical: a(n)=9*a(n-2)+31*a(n-3)+24*a(n-4)-60*a(n-5)-167*a(n-6)-146*a(n-7)+80*a(n-8)+321*a(n-9)+368*a(n-10)+29*a(n-11)-621*a(n-12)-250*a(n-13)+210*a(n-14)+167*a(n-15)+275*a(n-16)-76*a(n-17)-88*a(n-18)-54*a(n-19)-41*a(n-20)-16*a(n-21)+21*a(n-22)+14*a(n-23)-5*a(n-24)+a(n-25)+2*a(n-26)-a(n-27) for n>28

EXAMPLE

Some solutions for 5X3

..0..1..1....0..1..0....1..1..1....1..0..1....0..1..0....1..1..1....0..0..1

..1..1..1....1..0..0....1..0..1....0..0..1....1..0..0....0..0..1....0..1..0

..0..0..1....1..1..1....1..0..1....1..0..0....1..1..1....0..1..1....1..1..1

..0..1..1....0..0..1....1..1..1....1..0..1....1..1..0....1..0..1....1..0..0

..1..0..1....1..1..0....0..1..1....1..1..0....1..0..0....1..1..0....1..1..1

CROSSREFS

Sequence in context: A158604 A057816 A162295 * A158628 A123597 A138631

Adjacent sequences:  A187719 A187720 A187721 * A187723 A187724 A187725

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 13 2011

STATUS

approved

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Last modified April 14 07:32 EDT 2021. Contains 342946 sequences. (Running on oeis4.)