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A186844 Number of (n+1)X4 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 1

%I

%S 162,970,6138,36988,224714,1371258,8335676,50707346,308646310,

%T 1877813892,11425402866,69522265266,423014974740,2573883848370,

%U 15661241415990,95293069634608,579824378872438,3528028603215862,21466809826900456

%N Number of (n+1)X4 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 Column 3 of A186850

%H R. H. Hardin, <a href="/A186844/b186844.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n)=2*a(n-1)+11*a(n-2)+63*a(n-3)+112*a(n-4)+120*a(n-5)+110*a(n-6)-849*a(n-7)-1709*a(n-8)-1167*a(n-9)+1006*a(n-10)+3341*a(n-11)+2742*a(n-12)+2484*a(n-13)-161*a(n-14)+363*a(n-15)-1203*a(n-16)+126*a(n-17)-1692*a(n-18)+806*a(n-19)-426*a(n-20)+204*a(n-21)+32*a(n-22) for n>23

%e Some solutions for 3X4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 27 2011

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Last modified July 4 12:28 EDT 2022. Contains 355075 sequences. (Running on oeis4.)