A186850 T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock diagonal sum less antidiagonal sum equal to any horizontal or vertical neighbor 2X2 subblock diagonal sum less antidiagonal sum

16, 50, 50, 162, 218, 162, 512, 970, 970, 512, 1626, 4194, 6138, 4194, 1626, 5182, 18246, 36988, 36988, 18246, 5182, 16476, 79778, 224714, 313412, 224714, 79778, 16476, 52378, 347530, 1371258, 2679366, 2679366, 1371258, 347530, 52378, 166634

Offset

1,1

Comments

Table starts

.....16.......50........162..........512..........1626............5182

.....50......218........970.........4194.........18246...........79778

....162......970.......6138........36988........224714.........1371258

....512.....4194......36988.......313412.......2679366........22982034

...1626....18246.....224714......2679366......32584548.......397002882

...5182....79778....1371258.....22982034.....397002882......6898399878

..16476...347530....8335676....196096944....4811564838....119236307198

..52378..1514138...50707346...1675514684...58406620364...2065646009310

.166634..6603034..308646310..14324706908..709274874710..35799060427804

.529984.28783358.1877813892.122399599022.8608639841774.620100415074980

Links

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

Example

Some solutions for 4X3
..0..0..0....0..0..0....0..1..1....0..0..1....0..1..0....0..0..0....0..1..0
..1..0..1....0..1..0....1..0..1....1..0..1....1..0..1....0..1..0....0..1..1
..0..0..1....0..0..0....0..0..0....1..0..0....0..0..1....1..1..1....0..0..0
..1..1..1....1..1..0....0..0..1....0..0..0....0..0..0....0..1..1....0..1..0

Crossrefs

Sequence in context: A030688 A235962 A235573 * A235566 A186842 A231840

Adjacent sequences: A186847 A186848 A186849 * A186851 A186852 A186853

Keyword

nonn,tabl

Author

R. H. Hardin Feb 27 2011

Status

approved