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A207693 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 1 vertically.

%I A207693 #7 Jul 22 2025 20:41:03
%S A207693 2,4,4,6,16,6,9,36,36,9,15,81,60,81,13,25,225,100,144,169,18,40,625,
%T A207693 240,256,312,324,25,64,1600,576,768,576,612,625,34,104,4096,1296,2304,
%U A207693 1872,1156,1250,1156,46,169,10816,2916,5856,6084,4216,2500,2516,2116,62,273
%N A207693 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 1 1 1 vertically.
%C A207693 Table starts
%C A207693 ..2....4....6....9....15.....25.....40......64.....104......169.......273
%C A207693 ..4...16...36...81...225....625...1600....4096...10816....28561.....74529
%C A207693 ..6...36...60..100...240....576...1296....2916....6804....15876.....36288
%C A207693 ..9...81..144..256...768...2304...5856...14884...42700...122500....320600
%C A207693 .13..169..312..576..1872...6084..18564...56644..177548...556516...1724752
%C A207693 .18..324..612.1156..4216..15376..50096..163216..578528..2050624...6804864
%C A207693 .25..625.1250.2500.10000..40000.145200..527076.2056032..8020224..29854944
%C A207693 .34.1156.2516.5476.24420.108900.453420.1887876.8263236.36168196.155101060
%H A207693 R. H. Hardin, <a href="/A207693/b207693.txt">Table of n, a(n) for n = 1..648</a>
%e A207693 Some solutions for n=4 k=3
%e A207693 ..1..1..1....1..0..0....1..0..1....1..1..0....0..1..1....0..1..1....1..1..1
%e A207693 ..1..1..0....0..0..1....0..1..1....0..0..1....1..0..1....1..1..0....0..0..1
%e A207693 ..0..0..1....1..0..1....1..1..0....1..0..1....1..1..0....1..0..1....1..1..0
%e A207693 ..1..0..1....1..0..0....1..0..0....1..0..0....0..0..1....0..1..1....0..1..1
%Y A207693 Column 1 is A171861(n+1)
%Y A207693 Column 2 is A207025
%Y A207693 Column 3 is A207584
%Y A207693 Row 1 is A006498(n+2)
%Y A207693 Row 2 is A189145(n+2)
%K A207693 nonn,tabl
%O A207693 1,1
%A A207693 _R. H. Hardin_ Feb 19 2012