A207123 - OEIS

A207123

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 0 1 1 vertically

2, 4, 4, 6, 16, 6, 9, 36, 36, 9, 14, 81, 102, 81, 12, 21, 196, 288, 289, 144, 16, 31, 441, 896, 1024, 612, 256, 20, 46, 961, 2499, 4096, 2560, 1296, 400, 25, 68, 2116, 6634, 14161, 12288, 6400, 2340, 625, 30, 100, 4624, 17848, 45796, 49861, 36864, 13200, 4225, 900

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

OFFSET

1,1

COMMENTS

Table starts

..2...4....6.....9.....14......21......31.......46........68........100

..4..16...36....81....196.....441.....961.....2116......4624......10000

..6..36..102...288....896....2499....6634....17848.....47192.....122200

..9..81..289..1024...4096...14161...45796...150544....481636....1493284

.12.144..612..2560..12288...49861..186822...712756...2628872....9322638

.16.256.1296..6400..36864..175561..762129..3374569..14348944...58201641

.20.400.2340.13200..87744..475984.2330037.11635558..55554808..251535759

.25.625.4225.27225.208849.1290496.7123561.40119556.215091556.1087086841

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..545

EXAMPLE

Some solutions for n=4 k=3

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

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

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

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

CROSSREFS

Column 1 is A002620(n+2)

Column 2 is A030179(n+2)

Row 1 is A038718(n+2)

Row 2 is A207069

Row 3 is A207070

Sequence in context: A207564 A207419 A208007 * A207442 A209224 A207693

Adjacent sequences: A207120 A207121 A207122 * A207124 A207125 A207126

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Feb 15 2012

STATUS

approved