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A278272 T(n,k)=Number of nXk 0..3 arrays with every element plus 1 mod 4 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero. 6

%I #4 Nov 16 2016 07:08:42

%S 0,0,0,0,4,0,0,47,47,0,0,395,1541,395,0,0,3453,46669,46669,3453,0,0,

%T 30475,1443372,4917221,1443372,30475,0,0,268257,44653299,534794424,

%U 534794424,44653299,268257,0,0,2360984,1380961734,58169902939

%N T(n,k)=Number of nXk 0..3 arrays with every element plus 1 mod 4 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero.

%C Table starts

%C .0......0..........0.............0.................0.....................0

%C .0......4.........47...........395..............3453.................30475

%C .0.....47.......1541.........46669...........1443372..............44653299

%C .0....395......46669.......4917221.........534794424...........58169902939

%C .0...3453....1443372.....534794424......205381236473........78878506284185

%C .0..30475...44653299...58169902939....78878506284185....106937880786585233

%C .0.268257.1380961734.6324036210246.30276634666919851.144890411982622214715

%H R. H. Hardin, <a href="/A278272/b278272.txt">Table of n, a(n) for n = 1..84</a>

%F Empirical for column k:

%F k=2: [linear recurrence of order 8]

%F k=3: [order 40]

%e Some solutions for n=3 k=4

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

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

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

%K nonn,tabl

%O 1,5

%A _R. H. Hardin_, Nov 16 2016

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)