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 A235784 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise 9

%I #4 Jan 15 2014 13:15:04

%S 81,537,537,3199,7331,3199,17837,86691,86369,17837,95679,922543,

%T 1998795,924323,95679,498597,9242949,40810011,41559689,9324103,498597,

%U 2546207,88065309,775083193,1647458581,807571787,89825051,2546207,12796069

%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the difference of the upper and lower median value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise

%C Table starts

%C ........81.........537..........3199..........17837...........95679

%C .......537........7331.........86691.........922543.........9242949

%C ......3199.......86369.......1998795.......40810011.......775083193

%C .....17837......924323......41559689.....1647458581.....60893670493

%C .....95679.....9324103.....807571787....62858483545...4645650679435

%C ....498597....89825051...14878043073..2297557298259.350192741862675

%C ...2546207...837434835..263391351981.81417506954285

%C ..12796069..7600810347.4508888392477

%C ..63520287.67576585873

%C .312150917

%H R. H. Hardin, <a href="/A235784/b235784.txt">Table of n, a(n) for n = 1..60</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 10]

%F k=2: [order 59]

%F Empirical for row n:

%F n=1: [linear recurrence of order 10]

%F n=2: [order 49]

%e Some solutions for n=2 k=4

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

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

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

%Y Column 1 and row 1 are A235560

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 15 2014

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Last modified April 15 05:40 EDT 2024. Contains 371667 sequences. (Running on oeis4.)