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

1,2

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

Links

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

Example

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

Crossrefs

Column 2 is A218759

Row 1 is A005251(n+2)

Row 2 is A219143

Row 3 is A219144

Sequence in context: A232335 A098473 A121757 * A219142 A220226 A181854

Adjacent sequences: A219438 A219439 A219440 * A219442 A219443 A219444

Keyword

nonn,tabl

Author

R. H. Hardin Nov 20 2012

Status

approved