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A221660 T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal and antidiagonal neighbors in a random 0..2 nXk array 4
1, 2, 1, 4, 8, 1, 8, 37, 32, 1, 16, 172, 323, 128, 1, 32, 771, 3322, 2735, 512, 1, 64, 3392, 29939, 58710, 22683, 2048, 1, 128, 14569, 254682, 1016831, 989020, 185563, 8192, 1, 256, 61210, 2078316, 16705642, 33166449, 16261308, 1503659, 32768, 1, 512, 252491 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

.1......2........4..........8..........16..........32..........64........128

.1......8.......37........172.........771........3392.......14569......61210

.1.....32......323.......3322.......29939......254682.....2078316...16737048

.1....128.....2735......58710.....1016831....16705642...268216870.4294510063

.1....512....22683.....989020....33166449..1072967251.34355764004

.1...2048...185563...16261308..1068217665.68708241498

.1...8192..1503659..263988148.34258980206

.1..32768.12103019.4256750870

.1.131072.96951211

.1.524288

.1

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..70

EXAMPLE

Some solutions for n=3 k=4

..0..0..1..0....1..0..1..0....0..1..0..1....1..1..0..1....0..0..1..1

..1..0..1..0....0..0..0..1....1..1..1..1....1..1..1..0....1..0..0..0

..0..1..1..1....1..0..0..1....1..1..1..1....0..1..1..0....1..1..1..0

CROSSREFS

Column 2 is A004171(n-1)

Column 3 is A221059

Column 4 is A221060

Column 5 is A221061

Row 1 is A000079(n-1)

Row 2 is A221063

Sequence in context: A220579 A330787 A128412 * A221062 A220916 A221632

Adjacent sequences:  A221657 A221658 A221659 * A221661 A221662 A221663

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 21 2013

STATUS

approved

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Last modified May 21 03:13 EDT 2022. Contains 353886 sequences. (Running on oeis4.)