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 A250497 Number of (n+2)X(1+2) 0..1 arrays with nondecreasing medians of every three consecutive values in every row and column 1

%I #4 Nov 24 2014 09:17:53

%S 512,2744,13824,68921,314432,1367631,5832000,24137569,97336000,

%T 385828352,1505060136,5783534875,21952000000,82426462208,306454670488,

%U 1129412837944,4129885013184,14994306423179,54087346107432

%N Number of (n+2)X(1+2) 0..1 arrays with nondecreasing medians of every three consecutive values in every row and column

%C Column 1 of A250504

%H R. H. Hardin, <a href="/A250497/b250497.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -20*a(n-2) +44*a(n-3) -190*a(n-4) +292*a(n-5) -242*a(n-6) +1552*a(n-7) -933*a(n-8) -728*a(n-9) -7846*a(n-10) -2828*a(n-11) +2191*a(n-12) +22952*a(n-13) +13106*a(n-14) -556*a(n-15) -37208*a(n-16) -18168*a(n-17) +6972*a(n-18) +33492*a(n-19) -4164*a(n-20) -5916*a(n-21) -10326*a(n-22) +9744*a(n-23) -1676*a(n-24) +5224*a(n-25) -6310*a(n-26) +2776*a(n-27) -2345*a(n-28) +2396*a(n-29) -1876*a(n-30) +1244*a(n-31) -1086*a(n-32) +704*a(n-33) -410*a(n-34) +212*a(n-35) -109*a(n-36) +40*a(n-37) -14*a(n-38) +4*a(n-39) -a(n-40)

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 24 2014

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