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A251314 Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements 1

%I

%S 365,2199,12859,76167,451826,2688099,16024915,95495471,568712168,

%T 3387770571,20189713569,120329111819,717061495216,4273007995794,

%U 25464690252601,151759389097464,904412481052043,5389803787476828

%N Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements

%C Column 5 of A251317

%H R. H. Hardin, <a href="/A251314/b251314.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 21*a(n-1) -209*a(n-2) +1373*a(n-3) -6671*a(n-4) +24836*a(n-5) -72066*a(n-6) +164681*a(n-7) -296387*a(n-8) +415164*a(n-9) -439957*a(n-10) +329594*a(n-11) -140172*a(n-12) -13684*a(n-13) +64019*a(n-14) -38491*a(n-15) +1377*a(n-16) +12766*a(n-17) -8365*a(n-18) +3157*a(n-19) -938*a(n-20) -135*a(n-21) +270*a(n-22) -41*a(n-23) +4*a(n-24) -5*a(n-25) -a(n-26) for n>27

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 01 2014

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Last modified December 5 08:36 EST 2021. Contains 349543 sequences. (Running on oeis4.)