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A186939 T(n,k) = Number of (n+1) X (k+1) binary arrays with every 2 X 2 subblock trace equal to exactly one or two horizontal and vertical neighbor 2 X 2 subblock traces. 9
0, 24, 24, 40, 104, 40, 144, 472, 472, 144, 344, 1664, 1840, 1664, 344, 1000, 6848, 10496, 10496, 6848, 1000, 2688, 27272, 46960, 59720, 46960, 27272, 2688, 7528, 108128, 241320, 400192, 400192, 241320, 108128, 7528, 20648, 431656, 1152312 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

.....0......24........40........144..........344..........1000...........2688

....24.....104.......472.......1664.........6848.........27272.........108128

....40.....472......1840......10496........46960........241320........1152312

...144....1664.....10496......59720.......400192.......2504264.......16124472

...344....6848.....46960.....400192......3026432......25314744......199197496

..1000...27272....241320....2504264.....25314744.....264604776.....2731872328

..2688..108128...1152312...16124472....199197496....2731872328....35582947920

..7528..431656...5769904..102475864...1627815216...28477050608...475637108896

.20648.1719312..28108104..654285152..12959411184..295182600552..6259259510232

.57040.6845968.138858120.4168475512.105094646680.3063267862112.83202139545720

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

EXAMPLE

Some solutions for 5 X 4

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

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

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

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

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

CROSSREFS

Column 1 is A185742.

Sequence in context: A099543 A188311 A185497 * A185750 A040553 A022358

Adjacent sequences:  A186936 A186937 A186938 * A186940 A186941 A186942

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 01 2011

STATUS

approved

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Last modified January 27 18:06 EST 2022. Contains 350611 sequences. (Running on oeis4.)