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A254384 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally 1

%I #4 Jan 29 2015 19:51:39

%S 3372,35529,409051,4766957,54712559,630430184,7273310228,83838776143,

%T 966536400371,11143872854174,128479354314846,1481261635497821,

%U 17077855175576714,196894624081569751,2270044263780068047

%N Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Column 2 of A254390

%H R. H. Hardin, <a href="/A254384/b254384.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 12*a(n-1) +5*a(n-2) -40*a(n-3) -881*a(n-4) -1730*a(n-5) +14033*a(n-6) +2668*a(n-7) -12716*a(n-8) -91324*a(n-9) +26296*a(n-10) +149802*a(n-11) -8770*a(n-12) +728*a(n-13) -76056*a(n-14) +848640*a(n-15) -1019978*a(n-16) -1367966*a(n-17) +887700*a(n-18) +112840*a(n-19) +2066789*a(n-20) +94674*a(n-21) -1572123*a(n-22) -324304*a(n-23) -1135827*a(n-24) +1289606*a(n-25) +771953*a(n-26) -793926*a(n-27) +108632*a(n-28) +76256*a(n-29) -51808*a(n-30) +4320*a(n-31) +2752*a(n-32) -256*a(n-33)

%e Some solutions for n=2

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 29 2015

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Last modified April 24 12:59 EDT 2024. Contains 371945 sequences. (Running on oeis4.)