A188311 - OEIS

A188311

T(n,k)=Number of (n+1)X(k+1) binary arrays with every 2X2 subblock sum equal to exactly one or two horizontal and vertical neighbor 2X2 subblock sums

0, 24, 24, 36, 128, 36, 160, 664, 664, 160, 380, 3036, 3784, 3036, 380, 1332, 14832, 30096, 30096, 14832, 1332, 3616, 71888, 203584, 321696, 203584, 71888, 3616, 11828, 348728, 1514522, 3415196, 3415196, 1514522, 348728, 11828, 33764, 1694376

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

OFFSET

1,2

COMMENTS

Table starts

......0.......24.........36.........160..........380.........1332.........3616

.....24......128........664........3036........14832........71888.......348728

.....36......664.......3784.......30096.......203584......1514522.....10660334

....160.....3036......30096......321696......3415196.....37040856....396560236

....380....14832.....203584.....3415196.....53468700....878907878..14070003616

...1332....71888....1514522....37040856....878907878..21615769428.520845610752

...3616...348728...10660334...396560236..14070003616.520845610752

..11828..1694376...77627954..4280848766.228625683370

..33764..8227500..553295656.45974525280

.107240.39976476.3999339740

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..83

EXAMPLE

Some solutions for 4X3

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

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

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

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

CROSSREFS

Column 1 is A185489

Sequence in context: A235249 A115028 A099543 * A185497 A186939 A185750

Adjacent sequences: A188308 A188309 A188310 * A188312 A188313 A188314

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 27 2011

STATUS

approved