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A235911 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the minimum plus the maximum unequal to the lower median plus the upper median in every 2X2 subblock 9

%I

%S 48,260,260,1408,2618,1408,7632,26408,26408,7632,41344,267548,499136,

%T 267548,41344,224064,2707568,9533120,9533120,2707568,224064,1213952,

%U 27447272,181855488,345346064,181855488,27447272,1213952,6578432

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

%C Table starts

%C .......48.........260...........1408..............7632................41344

%C ......260........2618..........26408............267548..............2707568

%C .....1408.......26408.........499136...........9533120............181855488

%C .....7632......267548........9533120.........345346064..........12495925760

%C ....41344.....2707568......181855488.......12495925760.........857962921984

%C ...224064....27447272.....3481713664......454589648064.......59328151603200

%C ..1213952...278028320....66562286592....16501573788672.....4091230986428416

%C ..6578432..2818432496..1274524104704...600431925362944...283020673044676608

%C .35643392.28558894016.24381793964032.21815700608966656.19540542590093524992

%H R. H. Hardin, <a href="/A235911/b235911.txt">Table of n, a(n) for n = 1..219</a>

%F Empirical for column k:

%F k=1: a(n) = 2*a(n-1) +20*a(n-2) -8*a(n-3)

%F k=2: a(n) = 8*a(n-1) +58*a(n-2) -368*a(n-3) -24*a(n-4) +192*a(n-5)

%F k=3: [order 9]

%F k=4: [order 16]

%F k=5: [order 32]

%F k=6: [order 62]

%e Some solutions for n=2 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 16 2014

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Last modified December 5 20:39 EST 2021. Contains 349558 sequences. (Running on oeis4.)