A187932 Number of (n+2)X3 binary arrays with every 2X2 subblock sum equal to some diagonal or antidiagonal neighbor 2X2 subblock sum

48, 44, 304, 784, 3188, 10296, 38020, 131184, 470896, 1657548, 5909972, 20946476, 74559876, 264925180, 942717628, 3352989040, 11932074280, 42457171692, 151103252592, 537762244964, 1914001892748, 6812367659852, 24247630683032

Offset

1,1

Comments

Column 1 of A187940

Links

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

Formula

Empirical: a(n)=6*a(n-1)-5*a(n-2)-27*a(n-3)+76*a(n-4)-91*a(n-5)-51*a(n-6)+46*a(n-7)+7*a(n-8)+1378*a(n-9)-1195*a(n-10)+1324*a(n-11)-1078*a(n-12)-2750*a(n-13)-3729*a(n-14)-2433*a(n-15)-8936*a(n-16)+8415*a(n-17)+9599*a(n-18)-9292*a(n-19)+13722*a(n-20)-40054*a(n-21)-8978*a(n-22)-23008*a(n-23)+25496*a(n-24)+19792*a(n-25)+72996*a(n-26)+67912*a(n-27)-11848*a(n-28)-48960*a(n-29)-61120*a(n-30)-26816*a(n-31)+5440*a(n-32)+27904*a(n-33)+12544*a(n-34)-2048*a(n-35)-4096*a(n-36)

Example

Some solutions for 4X3
..0..1..0....1..0..0....0..1..0....1..1..1....1..0..1....0..0..0....1..1..0
..1..1..1....0..1..1....1..0..1....0..1..0....0..0..0....1..1..1....0..1..1
..1..0..1....1..0..0....0..1..0....1..1..1....1..0..1....0..0..0....1..1..0
..1..1..1....0..1..1....1..0..1....0..1..0....0..0..0....1..1..1....0..1..1

Crossrefs

Sequence in context: A347557 A300143 A187940 * A165869 A121377 A327894

Adjacent sequences: A187929 A187930 A187931 * A187933 A187934 A187935

Keyword

nonn

Author

R. H. Hardin Mar 16 2011

Status

approved