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A233724 T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 26 (26 maximizes T(1,1)) 7

%I #4 Dec 15 2013 06:02:25

%S 280,1820,1820,11016,13588,11016,68828,101644,101644,68828,423220,

%T 820524,998048,820524,423220,2624872,6622988,10950676,10950676,

%U 6622988,2624872,16201200,54865696,122218188,170070448,122218188,54865696,16201200

%N T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 26 (26 maximizes T(1,1))

%C Table starts

%C ........280.........1820..........11016...........68828...........423220

%C .......1820........13588.........101644..........820524..........6622988

%C ......11016.......101644.........998048........10950676........122218188

%C ......68828.......820524.......10950676.......170070448.......2734167036

%C .....423220......6622988......122218188......2734167036......64803794224

%C ....2624872.....54865696.....1417835712.....46522687660....1650535163756

%C ...16201200....453172200....16483703564....796715658452...42662876957452

%C ..100277820...3781440536...194721929436..13995270446204.1138753868813024

%C ..619644916..31469076952..2296636990520.245408211398092

%C .3832773404.263046916084.27285817326088

%H R. H. Hardin, <a href="/A233724/b233724.txt">Table of n, a(n) for n = 1..84</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 16]

%F k=2: [order 90]

%e Some solutions for n=2 k=4

%e ..6..6..6..5..2....0..0..0..0..0....2..5..2..2..4....2..0..4..1..1

%e ..2..3..2..2..4....4..1..4..1..4....6..6..6..5..7....0..3..4..5..2

%e ..2..6..6..5..2....2..4..6..4..6....2..5..2..2..5....2..0..4..1..2

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 15 2013

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)