A204797 - OEIS

%I #5 Mar 31 2012 12:37:03

%S 907,18550,270148,4122638,60519533,897624021,13302221086,197792658833,

%T 2942082840954,43794460372476,652007505839888,9708650955706316,

%U 144572537862960056,2152929873533491740,32061226264300296272

%N Number of (n+1)X6 0..1 arrays with rows and columns of determinants of all 2X2 subblocks lexicographically nondecreasing

%C Column 5 of A204800

%H R. H. Hardin, <a href="/A204797/b204797.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 44*a(n-1) -709*a(n-2) +4178*a(n-3) +14975*a(n-4) -337072*a(n-5) +1417073*a(n-6) +2903810*a(n-7) -42888206*a(n-8) +94465992*a(n-9) +306179836*a(n-10) -1722598072*a(n-11) +808737736*a(n-12) +10623736128*a(n-13) -19949811840*a(n-14) -24870817280*a(n-15) +102186867072*a(n-16) -13317484032*a(n-17) -250274585600*a(n-18) +183648323584*a(n-19) +325400336384*a(n-20) -382504878080*a(n-21) -222713896960*a(n-22) +377006850048*a(n-23) +75123064832*a(n-24) -192002129920*a(n-25) -13202620416*a(n-26) +46758100992*a(n-27) +2264924160*a(n-28) -3623878656*a(n-29) for n>40

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 19 2012