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A203975 T(n,k)=Number of nXk 0..2 arrays with every 1 immediately preceded by 0 to the left or above, and every 2 immediately preceded by 0 1 to the left or above.

%I A203975 #7 Jul 22 2025 17:42:08
%S A203975 1,2,2,4,7,4,7,29,29,7,13,106,258,106,13,24,396,2061,2061,396,24,44,
%T A203975 1488,16723,34799,16723,1488,44,81,5569,136243,601521,601521,136243,
%U A203975 5569,81,149,20859,1107082,10443081,22100882,10443081,1107082,20859,149,274
%N A203975 T(n,k)=Number of nXk 0..2 arrays with every 1 immediately preceded by 0 to the left or above, and every 2 immediately preceded by 0 1 to the left or above.
%C A203975 Table starts
%C A203975 ..1.....2.......4..........7............13..............24.................44
%C A203975 ..2.....7......29........106...........396............1488...............5569
%C A203975 ..4....29.....258.......2061.........16723..........136243............1107082
%C A203975 ..7...106....2061......34799........601521........10443081..........180623180
%C A203975 .13...396...16723.....601521......22100882.......817293052........30104480870
%C A203975 .24..1488..136243...10443081.....817293052.....64449537503......5061444598545
%C A203975 .44..5569.1107082..180623180...30104480870...5061444598545....847220834970347
%C A203975 .81.20859.9001543.3127443494.1109867821460.397834775050740.141937054743243405
%H A203975 R. H. Hardin, <a href="/A203975/b203975.txt">Table of n, a(n) for n = 1..220</a>
%e A203975 Some solutions for n=5 k=3
%e A203975 ..0..0..1....0..1..0....0..0..0....0..1..2....0..0..0....0..0..0....0..0..0
%e A203975 ..1..1..0....0..1..1....1..1..1....1..0..1....0..1..0....0..0..1....0..1..0
%e A203975 ..0..2..0....0..0..0....0..1..0....0..0..0....0..1..0....0..1..2....0..0..1
%e A203975 ..0..0..0....0..1..1....0..1..2....1..0..1....0..0..1....1..0..1....1..1..2
%e A203975 ..0..1..0....1..2..2....0..1..0....2..0..0....1..0..1....2..0..0....2..0..0
%Y A203975 Column 1 is A000073(n+2)
%K A203975 nonn,tabl
%O A203975 1,2
%A A203975 _R. H. Hardin_ Jan 08 2012