A250922 - OEIS

%I #4 Nov 28 2014 18:08:35

%S 2007,50722,1320397,34521887,899626256,23390844328,607786907671,

%T 15792648591051,410386735455738,10664677285369172,277143750432312194,

%U 7202144730444536277,187162132018563957375,4863780170797367703069

%N Number of (n+1)X(3+1) 0..2 arrays with no 2X2 subblock having its minimum diagonal element less than its minimum antidiagonal element

%C Column 3 of A250927

%H R. H. Hardin, <a href="/A250922/b250922.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 81*a(n-1) -2899*a(n-2) +63295*a(n-3) -958285*a(n-4) +10756670*a(n-5) -93330409*a(n-6) +644640204*a(n-7) -3624496674*a(n-8) +16880394940*a(n-9) -66023717068*a(n-10) +219240302561*a(n-11) -623358921354*a(n-12) +1527544435817*a(n-13) -3241977665792*a(n-14) +5979956364272*a(n-15) -9608041848406*a(n-16) +13461986448007*a(n-17) -16448861092094*a(n-18) +17508255649822*a(n-19) -16196842918537*a(n-20) +12974801039902*a(n-21) -8952649323986*a(n-22) +5282187628341*a(n-23) -2638768086999*a(n-24) +1101316093488*a(n-25) -377022705948*a(n-26) +103145374080*a(n-27) -21690899280*a(n-28) +3292887168*a(n-29) -321226560*a(n-30) +15116544*a(n-31)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 28 2014