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A236137 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock 4

%I

%S 256,2816,2816,31552,67264,31552,351872,1611168,1611168,351872,

%T 3932416,38691488,83422344,38691488,3932416,43917824,929734720,

%U 4324702912,4324702912,929734720,43917824,490505216,22330450944,224789303820

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the maximum plus the lower median minus the upper median minus the minimum of every 2X2 subblock

%C Table starts

%C ........256.........2816..........31552.........351872........3932416

%C .......2816........67264........1611168.......38691488......929734720

%C ......31552......1611168.......83422344.....4324702912...224789303820

%C .....351872.....38691488.....4324702912...487008949768.54970653029220

%C ....3932416....929734720...224789303820.54970653029220

%C ...43917824..22330450944.11667447732440

%C ..490505216.536187075776

%C .5477885952

%H R. H. Hardin, <a href="/A236137/b236137.txt">Table of n, a(n) for n = 1..40</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 17]

%e Some solutions for n=2 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 19 2014

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Last modified October 25 17:22 EDT 2021. Contains 348255 sequences. (Running on oeis4.)