A219741 T(n,k) = Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, vertical or antidiagonal neighbor in a random 0..1 nXk array.

1, 2, 2, 4, 6, 4, 7, 13, 13, 7, 12, 28, 42, 28, 12, 21, 60, 126, 126, 60, 21, 37, 129, 387, 524, 387, 129, 37, 65, 277, 1180, 2229, 2229, 1180, 277, 65, 114, 595, 3606, 9425, 13322, 9425, 3606, 595, 114, 200, 1278, 11012, 39905, 78661, 78661, 39905, 11012, 1278, 200

Offset: 1

Author

R. H. Hardin, Nov 26 2012

Keywords

• nonn
• tabl

Comments

Table starts

...1.....2......4........7.........12...........21.............37

...2.....6.....13.......28.........60..........129............277

...4....13.....42......126........387.........1180...........3606

...7....28....126......524.......2229.........9425..........39905

..12....60....387.....2229......13322........78661.........466288

..21...129...1180.....9425......78661.......647252........5350080

..37...277...3606....39905.....466288......5350080.......61758332

..65...595..11012...168925....2760690.....44159095......711479843

.114..1278..33636...715072...16350693....364647622.....8201909757

.200..2745.102733..3027049...96830726...3010723330....94531063074

.351..5896.313781.12813931..573456240..24858935864..1089590912023

.616.12664.958384.54243509.3396136349.205253857220.12558669019786

Examples

			Some solutions for n=3 k=4
..0..0..0..0....1..0..0..1....0..0..1..0....0..0..1..0....0..0..0..1
..0..1..0..0....0..0..0..0....1..0..0..0....0..0..0..0....0..1..0..0
..0..0..0..0....0..1..0..1....0..0..0..1....1..0..0..1....0..0..0..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..337

Crossrefs

Column 1 is A005251(n+2).

Column 2 is A002478(n+1).

Column 3 is A105262(n+1) for n>1.

Main diagonal is A066864.

See A226444 for an array with very similar entries. - N. J. A. Sloane, Aug 22 2013

Formula

Zeilberger's Maple code (see links in A228285) would presumably give recurrences for the columns of this array. - N. J. A. Sloane, Aug 22 2013