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A235304 Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings). 1

%I #7 Jun 18 2022 23:19:54

%S 210,518,1106,2918,6786,18662,46226,130598,338370,973478,2602706,

%T 7582118,20721666,60895142,169042706,499829798,1403453250,4167788198,

%U 11804391506,35162436518,100271311746,299327750822,858333411986,2566154588198

%N Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 6 (constant-stress 1 X 1 tilings).

%C Column 2 of A235310.

%H R. H. Hardin, <a href="/A235304/b235304.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) +25*a(n-2) -112*a(n-3) -231*a(n-4) +1260*a(n-5) +875*a(n-6) -7280*a(n-7) -224*a(n-8) +22736*a(n-9) -7980*a(n-10) -36288*a(n-11) +21456*a(n-12) +23040*a(n-13) -17280*a(n-14).

%e Some solutions for n=5:

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

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

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

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

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

%e 1 2 1 1 4 2 4 1 4 2 5 3 3 1 3 5 2 5 2 5 2

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 05 2014

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)