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%I #4 Nov 17 2013 20:20:16
%S 601,26587,1313477,64298979,3154769585,154723539035,7588839921175,
%T 372212311236497,18256039956940439,895410839428587845,
%U 43917552649460225906,2154040733553483724441,105650046626276283099403
%N Number of (n+1)X(5+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero
%C Column 5 of A232076
%H R. H. Hardin, <a href="/A232073/b232073.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 36*a(n-1) +621*a(n-2) +1905*a(n-3) -39207*a(n-4) -411402*a(n-5) -898125*a(n-6) +9425393*a(n-7) +84749816*a(n-8) +111051068*a(n-9) -879007533*a(n-10) -4910760430*a(n-11) -5538189143*a(n-12) +30036432177*a(n-13) +127210420672*a(n-14) +100515718479*a(n-15) -435334756085*a(n-16) -1303280584822*a(n-17) -335724807381*a(n-18) +2626288625618*a(n-19) +5071408736720*a(n-20) +1385035898258*a(n-21) -4910435900712*a(n-22) -8006645842945*a(n-23) -6555595728604*a(n-24) -8685616697980*a(n-25) +8851048636512*a(n-26) +16243480894674*a(n-27) +16294806863831*a(n-28) +866909283484*a(n-29) -15274511535622*a(n-30) -15229622369906*a(n-31) +1479765422989*a(n-32) +9106580336257*a(n-33) +6260481470057*a(n-34) -4173602288058*a(n-35) -2444349654584*a(n-36) -2452573728389*a(n-37) +2262922603605*a(n-38) -79247649905*a(n-39) +434538965793*a(n-40) -274104583405*a(n-41) -9793704008*a(n-42) +31592467035*a(n-43) -7963078993*a(n-44) +825205473*a(n-45) -9444076*a(n-46) -4479389*a(n-47) +581064*a(n-48) -22036*a(n-49) +72*a(n-50)
%e Some solutions for n=2
%e ..0..1..1..0..0..1....0..0..1..0..0..1....0..0..1..0..0..0....0..1..1..1..0..0
%e ..0..0..1..1..1..0....0..0..1..1..1..0....1..1..1..0..0..0....0..0..1..0..0..1
%e ..1..1..0..0..1..1....1..1..0..1..0..1....0..0..1..0..0..0....1..1..0..0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 17 2013
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