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A251109 Number of (n+1)X(4+1) 0..2 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements 1

%I

%S 1844,15281,99147,667626,4633551,32006770,219945737,1519227598,

%T 10534571961,72985741167,505028461060,3495190141883,24199011679369,

%U 167530546019496,1159625243535549,8026783158686048,55563614902322254

%N Number of (n+1)X(4+1) 0..2 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements

%C Column 4 of A251113

%H R. H. Hardin, <a href="/A251109/b251109.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 43*a(n-1) -901*a(n-2) +12359*a(n-3) -125315*a(n-4) +1002507*a(n-5) -6581234*a(n-6) +36365454*a(n-7) -172080539*a(n-8) +705943954*a(n-9) -2533681045*a(n-10) +8011124091*a(n-11) -22436222059*a(n-12) +55894587875*a(n-13) -124274026752*a(n-14) +247186365655*a(n-15) -440527578906*a(n-16) +703925154060*a(n-17) -1008373798973*a(n-18) +1293791240766*a(n-19) -1484625648052*a(n-20) +1521230814042*a(n-21) -1390827118773*a(n-22) +1136788452141*a(n-23) -837122118422*a(n-24) +565312756418*a(n-25) -359896930303*a(n-26) +220604071719*a(n-27) -126908771586*a(n-28) +59925988080*a(n-29) -11993028142*a(n-30) -17217635333*a(n-31) +28640573888*a(n-32) -27236031567*a(n-33) +19903800500*a(n-34) -12075012435*a(n-35) +6297632344*a(n-36) -2881025805*a(n-37) +1163203367*a(n-38) -404743449*a(n-39) +113084372*a(n-40) -23926815*a(n-41) +6865072*a(n-42) -5564876*a(n-43) +4018299*a(n-44) -1868963*a(n-45) +563293*a(n-46) -109014*a(n-47) +15462*a(n-48) -3872*a(n-49) +1375*a(n-50) -260*a(n-51) +18*a(n-52) for n>54

%e Some solutions for n=3

%e ..2..0..0..1..2....0..0..0..0..2....1..0..0..0..2....0..0..0..0..2

%e ..2..0..0..0..2....0..0..0..0..2....2..2..2..0..1....0..0..0..0..1

%e ..2..0..0..0..1....1..1..0..0..2....0..0..2..2..0....2..2..2..0..0

%e ..2..1..1..1..0....2..1..1..0..0....1..0..0..2..0....0..0..2..2..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 30 2014

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Last modified May 20 08:03 EDT 2022. Contains 353852 sequences. (Running on oeis4.)