A219143 -id:A219143 - cp's OEIS frontend

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

R. H. Hardin Nov 20 2012

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

			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

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

Column 2 is A218759
Row 1 is A005251(n+2)
Row 2 is A219143
Row 3 is A219144

cp's OEIS Frontend

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.

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