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A253353 Number of (4+1)X(n+1) 0..1 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally 1

%I #4 Dec 30 2014 14:45:47

%S 335,3192,30920,305872,3006936,29746140,294030700,2909622092,

%T 28790285676,284932211532,2819926224684,27909384512908,

%U 276225964612076,2733896477818444,27058289111384492,267805400759163404

%N Number of (4+1)X(n+1) 0..1 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Row 4 of A253350

%H R. H. Hardin, <a href="/A253353/b253353.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 18*a(n-1) -73*a(n-2) -256*a(n-3) +2060*a(n-4) -1216*a(n-5) -12612*a(n-6) +18224*a(n-7) +20992*a(n-8) -40064*a(n-9) -9984*a(n-10) +24576*a(n-11) for n>15

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 30 2014

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)