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A238054 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one 6

%I

%S 256,1760,1760,12352,20732,12352,87488,249664,249664,87488,618752,

%T 3029204,5166560,3029204,618752,4375552,36751872,107643264,107643264,

%U 36751872,4375552,30949952,446229436,2246142916,3856575692,2246142916

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one

%C Table starts

%C .........256.........1760..........12352...........87488..........618752

%C ........1760........20732.........249664.........3029204........36751872

%C .......12352.......249664........5166560.......107643264......2246142916

%C .......87488......3029204......107643264......3856575692....138587835304

%C ......618752.....36751872.....2246142916....138587835304...8592543470668

%C .....4375552....446229436....46940148128...4992665981296.534423833189632

%C ....30949952...5413951288...978607916368.179067264236960

%C ...218919168..65636758792.20366342381968

%C ..1548259072.796414874192

%C .10950274048

%H R. H. Hardin, <a href="/A238054/b238054.txt">Table of n, a(n) for n = 1..60</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 20] for n>21

%F k=2: [order 60] for n>64

%e Some solutions for n=2 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Feb 17 2014

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Last modified October 7 14:13 EDT 2022. Contains 357271 sequences. (Running on oeis4.)