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A234702 T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings). 6

%I

%S 408,2628,2628,16848,13952,16848,109224,74308,74308,109224,704160,

%T 409268,329984,409268,704160,4594320,2261220,1558600,1558600,2261220,

%U 4594320,29782080,12903164,7424496,6480632,7424496,12903164,29782080,195532704

%N T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings).

%C Table starts

%C 408 2628 16848 109224 704160 4594320

%C 2628 13952 74308 409268 2261220 12903164

%C 16848 74308 329984 1558600 7424496 37338544

%C 109224 409268 1558600 6480632 27355272 123900992

%C 704160 2261220 7424496 27355272 102856704 421924272

%C 4594320 12903164 37338544 123900992 421924272 1588256456

%C 29782080 73793620 189345872 568426072 1760111424 6105726016

%C 195532704 434990348 1006857472 2764737872 7867555584 25353440600

%C 1274237568 2565773508 5389971408 13583184744 35635123680

%C 8416415808 15562814252 30077051488 70136986928

%H R. H. Hardin, <a href="/A234702/b234702.txt">Table of n, a(n) for n = 1..96</a>

%F Empirical for column k:

%F k=1: a(n) = 6*a(n-1) +90*a(n-2) -540*a(n-3) -2016*a(n-4) +12096*a(n-5).

%F k=2: [order 15].

%F k=3: [order 31].

%e Some solutions for n=2, k=4:

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

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

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

%K nonn,tabl,changed

%O 1,1

%A _R. H. Hardin_, Dec 29 2013

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Last modified June 28 12:59 EDT 2022. Contains 354907 sequences. (Running on oeis4.)