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%I #5 Mar 31 2012 12:37:05
%S 340,868,2072,5424,14220,37308,98924,258612,690332,1801140,4823028,
%T 12573964,33713996,87894316,235753764,614834884,1649053700,4302525980,
%U 11537536124,30114608028,80736058468,210803561324,565034328516
%N Number of (n+1)X6 0..1 arrays with the number of equal 2X2 subblock diagonal pairs and equal antidiagonal pairs differing from each horizontal or vertical neighbor, and new values 0..1 introduced in row major order
%C Column 5 of A205226
%H R. H. Hardin, <a href="/A205223/b205223.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +40*a(n-2) -39*a(n-3) -718*a(n-4) +679*a(n-5) +7622*a(n-6) -6938*a(n-7) -53004*a(n-8) +45901*a(n-9) +252266*a(n-10) -203943*a(n-11) -832037*a(n-12) +607427*a(n-13) +1879588*a(n-14) -1159999*a(n-15) -2801339*a(n-16) +1245590*a(n-17) +2575872*a(n-18) -454224*a(n-19) -1379084*a(n-20) -108556*a(n-21) +562152*a(n-22) -574600*a(n-23) -124432*a(n-24) +891456*a(n-25) -365592*a(n-26) -123520*a(n-27) +130144*a(n-28) -24768*a(n-29) +132288*a(n-30) +15744*a(n-31) -33152*a(n-32) +3072*a(n-33) -384*a(n-34) for n>36
%e Some solutions for n=4
%e ..0..0..1..0..0..0....0..1..1..0..1..1....0..1..1..1..0..0....0..0..0..0..1..0
%e ..1..1..0..0..0..1....0..0..0..0..1..1....1..1..1..0..1..0....1..0..0..1..0..0
%e ..1..1..0..0..1..0....1..1..0..0..0..0....1..1..0..1..1..0....1..0..1..0..0..0
%e ..1..0..1..0..1..1....1..1..0..1..1..0....1..0..1..1..1..1....1..1..0..0..0..1
%e ..1..0..0..1..1..1....0..0..0..1..0..1....0..1..1..1..0..0....1..1..1..1..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 23 2012