A204867 - OEIS

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A204867

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly two different ways, and new values 0..1 introduced in row major order

102, 382, 382, 1437, 1648, 1437, 5352, 7127, 7127, 5352, 20113, 31034, 36865, 31034, 20113, 75595, 136899, 192080, 192080, 136899, 75595, 283877, 603605, 1013668, 1193734, 1013668, 603605, 283877, 1066520, 2660367, 5369493, 7620885, 7620885

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

OFFSET

1,1

COMMENTS

Table starts

.....102......382......1437.......5352.......20113........75595........283877

.....382.....1648......7127......31034......136899.......603605.......2660367

....1437.....7127.....36865.....192080.....1013668......5369493......28334280

....5352....31034....192080....1193734.....7620885.....48713811.....309173896

...20113...136899...1013668....7620885....59491439....462259671....3572132537

...75595...603605...5369493...48713811...462259671...4356486501...40833480416

..283877..2660367..28334280..309173896..3572132537..40833480416..463699765823

.1066520.11721609.149505326.1968871406.27779761123.385816144851.5337233301716

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

EXAMPLE

Some solutions for n=3 k=3

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

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

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

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

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

CROSSREFS

Sequence in context: A173969 A140062 A203407 * A204860 A277459 A127655

Adjacent sequences: A204864 A204865 A204866 * A204868 A204869 A204870

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 20 2012

STATUS

approved