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Number of (n+1)X(6+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 08:28:30

%S 1051870,1053094,8858020,6728458,53883500,45899840,352580820,

%T 411726542,2447644466,4549989670,21236471054,58678596194,237413653504,

%U 831549840050,3188655033276,12424082609832,47046111414124,191305947190332

%N Number of (n+1)X(6+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally

%C Column 6 of A253314

%H R. H. Hardin, <a href="/A253312/b253312.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 54*a(n-2) -1146*a(n-4) +11906*a(n-6) -57856*a(n-8) +41746*a(n-10) +915500*a(n-12) -5390084*a(n-14) +17243019*a(n-16) -23781910*a(n-18) -46626062*a(n-20) +220685238*a(n-22) -966711598*a(n-24) +5598015330*a(n-26) -16564562748*a(n-28) +32437880460*a(n-30) -82319238900*a(n-32) +196803047412*a(n-34) -299792408688*a(n-36) +416972982600*a(n-38) -699879086064*a(n-40) +808469304768*a(n-42) -550998028800*a(n-44) +537665236992*a(n-46) -589908013056*a(n-48) +235092492288*a(n-50) for n>64

%e Some solutions for n=1

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014