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A234698 Number of (n+1) X (2+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). 1

%I #6 Jun 20 2022 19:53:55

%S 2628,13952,74308,409268,2261220,12903164,73793620,434990348,

%T 2565773508,15562814252,94270091668,585903611948,3628952476740,

%U 23018623628204,145209752122900,936710697140588,5998159579778628,39231903137940332

%N Number of (n+1) X (2+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).

%H R. H. Hardin, <a href="/A234698/b234698.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 15*a(n-1) +125*a(n-2) -2865*a(n-3) -1490*a(n-4) +219360*a(n-5) -507740*a(n-6) -8437740*a(n-7) +34905816*a(n-8) +161734320*a(n-9) -1006299360*a(n-10) -1062547200*a(n-11) +13887417600*a(n-12) -8926848000*a(n-13) -75188736000*a(n-14) +121927680000*a(n-15).

%e Some solutions for n=3:

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

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

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

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

%Y Column 2 of A234702.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 29 2013

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)