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 A206109 T(n,k) = number of (n+1) X (k+1) 0..3 arrays with the number of clockwise edge increases in 2 X 2 subblocks nondecreasing, and counterclockwise edge increases nonincreasing, rightwards and downwards. 9

%I #7 Dec 11 2015 11:56:52

%S 256,2292,2292,15564,33688,15564,95408,359932,359932,95408,574364,

%T 3991540,8114696,3991540,574364,3472540,48804116,210981300,210981300,

%U 48804116,3472540,21122008,628383700,5942161220,12793359564,5942161220

%N T(n,k) = number of (n+1) X (k+1) 0..3 arrays with the number of clockwise edge increases in 2 X 2 subblocks nondecreasing, and counterclockwise edge increases nonincreasing, rightwards and downwards.

%C Table starts

%C .......256.........2292...........15564..............95408

%C ......2292........33688..........359932............3991540

%C .....15564.......359932.........8114696..........210981300

%C .....95408......3991540.......210981300........12793359564

%C ....574364.....48804116......5942161220.......816173366244

%C ...3472540....628383700....173412646632.....53034080059688

%C ..21122008...8315311380...5144980591044...3471628061187072

%C .129099360.111777355164.153835526412512.227967307330878004

%H R. H. Hardin, <a href="/A206109/b206109.txt">Table of n, a(n) for n = 1..112</a>

%e Some solutions for n=4, k=3:

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 03 2012

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Last modified September 21 02:47 EDT 2023. Contains 365486 sequences. (Running on oeis4.)