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A207949 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically.

%I A207949 #7 Jul 22 2025 21:02:30
%S A207949 2,4,4,6,16,6,9,36,36,10,12,81,102,100,16,16,144,289,370,256,26,20,
%T A207949 256,612,1369,1232,676,42,25,400,1296,3478,5929,4238,1764,68,30,625,
%U A207949 2340,8836,18172,26569,14406,4624,110,36,900,4225,18330,55696,98126,117649
%N A207949 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 1 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically.
%C A207949 Table starts
%C A207949 ..2....4.....6......9......12.......16.......20........25........30.........36
%C A207949 ..4...16....36.....81.....144......256......400.......625.......900.......1296
%C A207949 ..6...36...102....289.....612.....1296.....2340......4225......6890......11236
%C A207949 .10..100...370...1369....3478.....8836....18330.....38025.....69420.....126736
%C A207949 .16..256..1232...5929...18172....55696...133812....321489....662256....1364224
%C A207949 .26..676..4238..26569...98126...362404..1007146...2798929...6501278...15100996
%C A207949 .42.1764.14406.117649..524104..2334784..7513176..24176889..63380130..166152100
%C A207949 .68.4624.49164.522729.2806686.15069924.56114310.208947025.617864520.1827049536
%H A207949 R. H. Hardin, <a href="/A207949/b207949.txt">Table of n, a(n) for n = 1..391</a>
%e A207949 Some solutions for n=4 k=3
%e A207949 ..1..1..0....1..1..0....0..0..0....1..0..0....0..1..0....0..1..0....0..1..0
%e A207949 ..0..0..0....1..0..1....1..0..0....0..0..0....1..0..0....1..0..1....0..1..0
%e A207949 ..0..0..0....1..0..1....1..1..1....0..0..0....1..0..1....1..0..1....0..1..0
%e A207949 ..1..0..0....0..1..0....1..1..1....0..1..0....1..1..1....1..1..0....0..1..0
%Y A207949 Column 1 is A006355(n+2)
%Y A207949 Column 2 is A206981
%Y A207949 Column 3 is A207249
%Y A207949 Column 4 is A207854
%Y A207949 Row 1 is A002620(n+2)
%Y A207949 Row 2 is A030179(n+2)
%Y A207949 Row 3 is A207118
%K A207949 nonn,tabl
%O A207949 1,1
%A A207949 _R. H. Hardin_ Feb 21 2012