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A206577 T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column or nw-to-se diagonal 9

%I #5 Mar 31 2012 12:37:12

%S 4,16,16,61,256,61,232,3721,3721,232,882,53824,188699,53824,882,3353,

%T 777924,9509750,9509750,777924,3353,12747,11242609,478456896,

%U 1665431164,478456896,11242609,12747,48460,162486009,24071410239,290967246344

%N T(n,k)=Number of nXk 0..3 arrays avoiding the pattern z-1 z-1 z in any row, column or nw-to-se diagonal

%C Table starts

%C .....4.........16.............61.................232.....................882

%C ....16........256...........3721...............53824..................777924

%C ....61.......3721.........188699.............9509750...............478456896

%C ...232......53824........9509750..........1665431164............290967246344

%C ...882.....777924......478456896........290967246344.........176372042982658

%C ..3353...11242609....24071410239......50835598921675......106921561045262424

%C .12747..162486009..1211164182464....8882668617521828....64829265966214645776

%C .48460.2348371600.60940227961282.1552079697677787063.39306166321588974667092

%H R. H. Hardin, <a href="/A206577/b206577.txt">Table of n, a(n) for n = 1..84</a>

%e Some solutions for n=4 k=3

%e ..2..2..1....2..1..2....0..0..3....3..1..1....0..3..3....1..1..0....0..0..3

%e ..0..0..3....3..0..1....0..1..1....1..3..3....0..1..3....3..2..3....2..3..1

%e ..0..0..2....2..0..0....2..0..2....3..1..3....2..1..1....3..0..0....1..2..0

%e ..2..2..0....1..3..0....2..1..0....1..3..3....2..1..1....2..1..3....1..0..0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Feb 09 2012

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Last modified June 2 18:23 EDT 2023. Contains 363100 sequences. (Running on oeis4.)