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A253538 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal minimum nonincreasing horizontally and nondecreasing vertically 1

%I #4 Jan 03 2015 11:34:46

%S 3328,33568,317696,2801200,24576256,212432512,1834356992,15757354000,

%T 135327129856,1160905055456,9961373970688,85451698082544,

%U 733064872902912,6288070321166400,53938785323602176,462674442188361424

%N Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal minimum nonincreasing horizontally and nondecreasing vertically

%C Column 2 of A253544

%H R. H. Hardin, <a href="/A253538/b253538.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -37*a(n-2) -95*a(n-3) +1181*a(n-4) -3897*a(n-5) +1721*a(n-6) -11813*a(n-7) +86096*a(n-8) -17360*a(n-9) -280192*a(n-10) +266368*a(n-11) -103680*a(n-12) +1683712*a(n-13) -11894784*a(n-14) +12763136*a(n-15) +24772608*a(n-16) -31457280*a(n-17) -12582912*a(n-18) +16777216*a(n-19)

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 03 2015

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Last modified April 18 18:58 EDT 2024. Contains 371781 sequences. (Running on oeis4.)