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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. 7
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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

LINKS

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

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

EXAMPLE

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

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

Sequence in context: A050469 A085730 A232065 * A210603 A252820 A218765

Adjacent sequences:  A219738 A219739 A219740 * A219742 A219743 A219744

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 26 2012

STATUS

approved

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Last modified April 8 12:21 EDT 2020. Contains 333314 sequences. (Running on oeis4.)