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A207752 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 0 1 and 1 0 0 vertically.

%I A207752 #7 Jul 22 2025 20:47:05
%S A207752 2,4,4,6,16,6,9,36,36,9,12,81,102,81,14,16,144,289,270,196,22,20,256,
%T A207752 612,900,798,484,35,25,400,1296,2100,3249,2354,1225,56,30,625,2340,
%U A207752 4900,8778,11449,7210,3136,90,36,900,4225,9450,23716,34668,42436,22232,8100,145,42
%N A207752 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 0 1 and 1 0 0 vertically.
%C A207752 Table starts
%C A207752 ..2....4.....6......9.....12......16......20.......25.......30........36
%C A207752 ..4...16....36.....81....144.....256.....400......625......900......1296
%C A207752 ..6...36...102....289....612....1296....2340.....4225.....6890.....11236
%C A207752 ..9...81...270....900...2100....4900....9450....18225....31185.....53361
%C A207752 .14..196...798...3249...8778...23716...51590...112225...213060....404496
%C A207752 .22..484..2354..11449..34668..104976..247860...585225..1182690...2390116
%C A207752 .35.1225..7210..42436.147084..509796.1341606..3530641..7826035..17347225
%C A207752 .56.3136.22232.157609.617732.2421136.6978660.20115225.47881860.113976976
%H A207752 R. H. Hardin, <a href="/A207752/b207752.txt">Table of n, a(n) for n = 1..542</a>
%e A207752 Some solutions for n=4 k=3
%e A207752 ..1..1..0....0..0..0....1..1..0....0..0..0....0..0..0....1..0..1....0..1..0
%e A207752 ..1..0..1....1..1..1....0..1..0....0..1..0....1..0..1....0..0..0....1..0..0
%e A207752 ..1..1..1....0..0..0....1..0..0....0..1..0....1..0..0....1..0..1....1..1..0
%e A207752 ..0..1..0....1..1..1....0..1..0....0..0..0....1..0..1....0..0..0....0..0..0
%Y A207752 Column 1 is A001611(n+2)
%Y A207752 Column 2 is A207436
%Y A207752 Row 1 is A002620(n+2)
%Y A207752 Row 2 is A030179(n+2)
%Y A207752 Row 3 is A207118
%K A207752 nonn,tabl
%O A207752 1,1
%A A207752 _R. H. Hardin_ Feb 19 2012