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A253311 Number of (n+1)X(5+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally 1

%I #4 Dec 30 2014 08:27:42

%S 157476,214676,1547188,2643738,16534784,53883500,300393602,1497743060,

%T 8035298482,45266774466,241316843208,1391655422404,7413686922900,

%U 42921707803250,228637291518078,1324593318241030,7055545301565708

%N Number of (n+1)X(5+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally

%C Column 5 of A253314

%H R. H. Hardin, <a href="/A253311/b253311.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +67*a(n-2) -221*a(n-3) -1705*a(n-4) +3766*a(n-5) +24361*a(n-6) -25780*a(n-7) -238558*a(n-8) +83102*a(n-9) +1868040*a(n-10) -372421*a(n-11) -13197408*a(n-12) +472971*a(n-13) +82477323*a(n-14) +38351344*a(n-15) -404587678*a(n-16) -408299522*a(n-17) +1469464881*a(n-18) +2135255996*a(n-19) -4201285211*a(n-20) -8163564407*a(n-21) +10687359918*a(n-22) +28536815020*a(n-23) -24274016201*a(n-24) -91101166968*a(n-25) +39551202432*a(n-26) +251885946474*a(n-27) +3883996008*a(n-28) -575621103114*a(n-29) -284779663542*a(n-30) +978703356996*a(n-31) +814744669662*a(n-32) -1294671181824*a(n-33) -1005542860752*a(n-34) +1789131211488*a(n-35) +853171784028*a(n-36) -1851793130952*a(n-37) -979745778576*a(n-38) +408330710928*a(n-39) +857804945472*a(n-40) +438949375776*a(n-41) -1146222761328*a(n-42) -637951539168*a(n-43) +542336878944*a(n-44) +312767593920*a(n-45) +460412138880*a(n-46) +139057088256*a(n-47) -529411603968*a(n-48) -196091808768*a(n-49) +146932807680*a(n-50) +58773123072*a(n-51) for n>69

%e Some solutions for n=1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014

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