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A236618 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the upper median of every 2X2 subblock 8

%I

%S 81,390,390,1885,2586,1885,8876,17114,17114,8876,41473,106184,147683,

%T 106184,41473,193372,645208,1064688,1064688,645208,193372,912752,

%U 4152180,8747914,11752026,8747914,4152180,912752,4290712,26549772,75546260

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

%C Table starts

%C .......81........390.........1885...........8876.............41473

%C ......390.......2586........17114.........106184............645208

%C .....1885......17114.......147683........1064688...........8747914

%C .....8876.....106184......1064688.......11752026.........145448960

%C ....41473.....645208......8747914......145448960........2918167210

%C ...193372....4152180.....75546260.....1982594584.......59704230348

%C ...912752...26549772....676215558....25479024204.....1284370885164

%C ..4290712..165983800...5559284940...338049637996....27062375627720

%C .20084444.1030960714..47828701612..4414473050442...586185349299850

%C .93983432.6559482790.413368542268.60726673303940.12310822397997156

%H R. H. Hardin, <a href="/A236618/b236618.txt">Table of n, a(n) for n = 1..144</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 11] for n>13

%F k=2: [order 36] for n>40

%e Some solutions for n=3 k=4

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 29 2014

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Last modified June 19 19:11 EDT 2019. Contains 324222 sequences. (Running on oeis4.)