A219441 T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nXk array.

1, 2, 1, 4, 6, 1, 7, 18, 18, 1, 12, 39, 78, 47, 1, 21, 96, 281, 329, 134, 1, 37, 225, 1072, 1750, 1396, 373, 1, 65, 543, 4033, 10157, 11283, 5925, 1035, 1, 114, 1293, 15255, 57249, 98584, 72272, 25147, 2889, 1, 200, 3096, 57963, 326938, 844553, 952625

Offset: 1

Author

R. H. Hardin Nov 20 2012

Keywords

• nonn
• tabl

Comments

Table starts

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

.1......6.......18.........39...........96...........225............543

.1.....18.......78........281.........1072..........4033..........15255

.1.....47......329.......1750........10157.........57249.........326938

.1....134.....1396......11283........98584........844553........7285283

.1....373.....5925......72272.......952625......12323337......160436482

.1...1035....25147.....465400......9230353.....180983751.....3553813654

.1...2889...106731....2995163.....89418051....2656615237....78682793897

.1...8050...452984...19264275....865738604...38958452805..1739719764661

.1..22420..1922547..123892153...8382034095..571246999054.38456568548417

.1..62477..8159665..796864416..81160468697.8377493560653

.1.174072.34631193.5125652937.785871654803

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..143

Crossrefs

Column 2 is A218759

Row 1 is A005251(n+2)

Row 2 is A219143

Row 3 is A219144