|
%I #5 Mar 31 2012 12:35:54
%S 81,1011,11619,143191,1701473,20745787,249227639,3023598287,
%T 36466869997,441485256003,5332487690091,64503151844829,
%U 779540374278977,9426365555316415,113945203695071531,1377667666898414589
%N 1/16 the number of (n+1)X6 binary arrays with no 2X2 subblock being a reflection across the shared element pair of any horizontal or vertical neighbor
%C Column 5 of A183811
%H R. H. Hardin, <a href="/A183807/b183807.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n)=15*a(n-1)+110*a(n-2)-2305*a(n-3)-891*a(n-4)+125083*a(n-5)-243502*a(n-6)-2877148*a(n-7)+8795527*a(n-8)+27727447*a(n-9)-101226891*a(n-10)-43240980*a(n-11)-79975763*a(n-12)-680699282*a(n-13)+10953583229*a(n-14)-3221230812*a(n-15)-82978052876*a(n-16)+72785470699*a(n-17)+134369376084*a(n-18)-124679575504*a(n-19)+843000278192*a(n-20)-1580151635606*a(n-21)-2695042718660*a(n-22)+5684097111755*a(n-23)-3975339670937*a(n-24)+6858358660190*a(n-25)+17395248113157*a(n-26)-46405408055301*a(n-27)+3240133345994*a(n-28)+21004315650603*a(n-29)-16124690699477*a(n-30)+66278718366899*a(n-31)-35683008630253*a(n-32)-22465044442773*a(n-33)+2356096909734*a(n-34)-17220973586580*a(n-35)+22524996368520*a(n-36)
%e Some solutions with upper left block zero for 3X6
%e ..0..0..1..1..0..0....0..0..0..1..0..0....0..0..0..1..1..0....0..0..0..1..1..1
%e ..0..0..1..1..0..0....0..0..1..1..0..0....0..0..1..0..0..0....0..0..1..1..1..0
%e ..1..1..1..0..0..1....0..1..0..0..1..0....0..1..0..0..0..1....1..1..0..0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 07 2011
| 