A183318 Number of nX6 binary arrays with an element zero only if there are an even number of ones to its left and an even number of ones above it.

21, 119, 1109, 7833, 61755, 455509, 3437801, 25528515, 190243099, 1412491505, 10484413673, 77772795145, 576515430247, 4273815283079, 31666450138863, 234664439146089, 1738444321229885, 12880327740810545, 95414952005019587

Offset: 1

Author

R. H. Hardin Jan 03 2011

Keywords

• nonn

Comments

Column 6 of A183322

Examples

			Some solutions for 5X6
..0..0..0..0..0..1....0..0..1..1..0..0....0..0..0..1..1..1....0..0..0..1..1..0
..0..1..1..0..0..1....1..1..1..1..1..1....0..0..0..1..1..1....0..1..1..1..1..1
..0..1..1..0..0..1....1..1..0..1..1..1....0..0..0..0..0..0....1..1..1..1..0..1
..0..0..0..0..0..1....0..0..1..1..0..0....0..1..1..1..1..0....1..1..1..1..0..0
..1..1..0..0..0..1....1..1..1..1..0..1....0..1..1..1..1..0....0..1..1..0..0..1
		

Links

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

Formula

Empirical: a(n)=a(n-1)+155*a(n-2)-83*a(n-3)-10499*a(n-4)+2739*a(n-5)+418493*a(n-6)-42935*a(n-7)-11114743*a(n-8)+187159*a(n-9)[phone]*a(n-10)+4942581*a(n-11)-2969847775*a(n-12)-106170955*a(n-13)[phone]*a(n-14)[phone]*a(n-15)-270649716999*a(n-16)-4937331775*a(n-17)[phone]*a(n-18)[phone]*a(n-19)-9680756335999*a(n-20)[phone]*a(n-21)[phone]*a(n-22)-1408662580253*a(n-23)-145837266421261*a(n-24)[phone]*a(n-25)[phone]*a(n-26)-24987326051091*a(n-27)-954307354257023*a(n-28)[phone]*a(n-29)+1789004571454345*a(n-30)-136365538707579*a(n-31)-2720716316400381*a(n-32)[phone]*a(n-33)+3345872171110277*a(n-34)-274993070105947*a(n-35)-3312136548981459*a(n-36)[phone]*a(n-37)+2623620146984753*a(n-38)-209286828757487*a(n-39)-1650724693067001*a(n-40)[phone]*a(n-41)[phone]*a(n-42)-57057707865601*a(n-43)-315201100152543*a(n-44)[phone]*a(n-45)[phone]*a(n-46)-4906758788153*a(n-47)-20850409285435*a(n-48)[phone]*a(n-49)[phone]*a(n-50)-99411558905*a(n-51)-404036952399*a(n-52)[phone]*a(n-53)[phone]*a(n-54)-65276327*a(n-55)-1635520523*a(n-56)-16406321*a(n-57)[phone]*a(n-58)+790773*a(n-59)-534995*a(n-60)-5413*a(n-61)+1739*a(n-62)-a(n-63)-a(n-64)