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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 10

%I #5 Mar 31 2012 12:36:06

%S 16,50,50,162,218,162,512,970,970,512,1626,4194,6138,4194,1626,5182,

%T 18246,36988,36988,18246,5182,16476,79778,224714,313412,224714,79778,

%U 16476,52378,347530,1371258,2679366,2679366,1371258,347530,52378,166634

%N 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

%C Table starts

%C .....16.......50........162..........512..........1626............5182

%C .....50......218........970.........4194.........18246...........79778

%C ....162......970.......6138........36988........224714.........1371258

%C ....512.....4194......36988.......313412.......2679366........22982034

%C ...1626....18246.....224714......2679366......32584548.......397002882

%C ...5182....79778....1371258.....22982034.....397002882......6898399878

%C ..16476...347530....8335676....196096944....4811564838....119236307198

%C ..52378..1514138...50707346...1675514684...58406620364...2065646009310

%C .166634..6603034..308646310..14324706908..709274874710..35799060427804

%C .529984.28783358.1877813892.122399599022.8608639841774.620100415074980

%H R. H. Hardin, <a href="/A186850/b186850.txt">Table of n, a(n) for n = 1..180</a>

%e Some solutions for 4X3

%e ..0..0..0....0..0..0....0..1..1....0..0..1....0..1..0....0..0..0....0..1..0

%e ..1..0..1....0..1..0....1..0..1....1..0..1....1..0..1....0..1..0....0..1..1

%e ..0..0..1....0..0..0....0..0..0....1..0..0....0..0..1....1..1..1....0..0..0

%e ..1..1..1....1..1..0....0..0..1....0..0..0....0..0..0....0..1..1....0..1..0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 27 2011

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Last modified July 23 06:59 EDT 2024. Contains 374544 sequences. (Running on oeis4.)