A218765 T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal or vertical neighbor in a random 0..1 nXk array

1, 2, 2, 4, 6, 4, 7, 18, 18, 7, 12, 47, 90, 47, 12, 21, 134, 403, 403, 134, 21, 37, 373, 1876, 2942, 1876, 373, 37, 65, 1035, 8697, 22439, 22439, 8697, 1035, 65, 114, 2889, 40383, 170148, 280850, 170148, 40383, 2889, 114, 200, 8050, 187413, 1291662, 3488015

Offset

1,2

Comments

Table starts

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

...2......6.......18..........47...........134............373...........1035

...4.....18.......90.........403..........1876...........8697..........40383

...7.....47......403........2942.........22439.........170148........1291662

..12....134.....1876.......22439........280850........3488015.......43403573

..21....373.....8697......170148.......3488015.......70915451.....1444700004

..37...1035....40383.....1291662......43403573.....1444700004....48186998294

..65...2889...187413.....9807350.....540089167....29426750811..1606766223984

.114...8050...869598....74441043....6717643958...599056249102.53537060426191

.200..22420..4035492...565067801...83563261332.12196183065261

.351..62477.18727387..4289417212.1039486332867

.616.174072.86907272.32560993753

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Example

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

Crossrefs

Column 1 is A005251(n+2)

Sequence in context: A219741 A210603 A252820 * A219310 A220070 A220217

Adjacent sequences: A218762 A218763 A218764 * A218766 A218767 A218768

Keyword

nonn,tabl

Author

R. H. Hardin Nov 05 2012

Status

approved