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A237391 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the upper median minus the minimum of every 2X2 subblock.

%I A237391 #6 Jul 23 2025 10:09:06
%S A237391 81,434,434,2336,3240,2336,12624,24340,24340,12624,68064,183764,
%T A237391 255937,183764,68064,366568,1379886,2712486,2712486,1379886,366568,
%U A237391 1976940,10406596,28732972,41204198,28732972,10406596,1976940,10657560,78612538
%N A237391 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the upper median minus the minimum of every 2X2 subblock.
%C A237391 Table starts
%C A237391 ........81.........434..........2336..........12624...........68064
%C A237391 .......434........3240.........24340.........183764.........1379886
%C A237391 ......2336.......24340........255937........2712486........28732972
%C A237391 .....12624......183764.......2712486.......41204198.......629612266
%C A237391 .....68064.....1379886......28732972......629612266.....14010191373
%C A237391 ....366568....10406596.....306543648.....9678405410....312459028946
%C A237391 ...1976940....78612538....3277420369...148794944054...6958669132771
%C A237391 ..10657560...593121116...34947393232..2283761004002.154932883163426
%C A237391 ..57441532..4469323758..371861162189.34983096932494
%C A237391 .309578264.33698637958.3961014934240
%H A237391 R. H. Hardin, <a href="/A237391/b237391.txt">Table of n, a(n) for n = 1..84</a>
%F A237391 Empirical for column k:
%F A237391 k=1: [linear recurrence of order 20]
%F A237391 k=2: [order 58] for n>59
%e A237391 Some solutions for n=2 k=4
%e A237391 ..1..0..2..2..2....0..2..0..0..1....1..0..0..2..1....0..0..1..2..2
%e A237391 ..0..0..0..2..2....2..0..0..0..1....0..1..2..1..0....0..1..0..0..0
%e A237391 ..2..1..0..1..0....1..0..0..2..0....1..2..0..1..1....1..0..2..0..1
%K A237391 nonn,tabl
%O A237391 1,1
%A A237391 _R. H. Hardin_, Feb 07 2014