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A204039 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards 9

%I

%S 16,44,44,121,164,121,286,603,603,286,676,1758,2928,1758,676,1482,

%T 5130,10505,10505,5130,1482,3249,13040,37642,44366,37642,13040,3249,

%U 6840,33223,111578,189580,189580,111578,33223,6840,14400,77574,330509,642272

%N T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards

%C Table starts

%C ...16....44....121.....286......676......1482.......3249.......6840.......14400

%C ...44...164....603....1758.....5130.....13040......33223......77574......181559

%C ..121...603...2928...10505....37642....111578.....330509.....863435.....2254026

%C ..286..1758..10505...44366...189580....642272....2198077....6415866....18855400

%C ..676..5130..37642..189580...969528...3811097...15164049...50226272...167435933

%C .1482.13040.111578..642272..3811097..16895850...76619720..282617310..1055589853

%C .3249.33223.330509.2198077.15164049..76619720..397550036.1650280817..6940548943

%C .6840.77574.863435.6415866.50226272.282617310.1650280817.7576693894.35441648714

%H R. H. Hardin, <a href="/A204039/b204039.txt">Table of n, a(n) for n = 1..364</a>

%e Some solutions for n=4 k=3

%e ..1..0..1..1....1..0..0..1....0..1..0..1....0..1..1..0....1..0..0..0

%e ..0..1..1..0....0..0..1..0....1..0..1..0....1..0..0..1....0..1..1..1

%e ..1..0..1..1....1..1..0..1....0..1..1..1....0..1..1..1....1..0..1..1

%e ..0..1..1..1....0..1..1..1....1..0..1..1....0..1..1..1....1..1..1..1

%e ..0..1..1..1....1..1..0..1....0..1..1..1....0..1..1..1....1..1..1..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 09 2012

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Last modified May 24 08:44 EDT 2022. Contains 354024 sequences. (Running on oeis4.)