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A235242 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 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). 1

%I #7 Jun 18 2022 23:55:27

%S 906,3146,10866,41246,152178,599342,2282514,9184758,35696098,

%T 145885710,575507682,2380818854,9501151026,39692769950,159843012210,

%U 673129281462,2730115908610,11572454510574,47201672364546,201156697569350

%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 6, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%C Column 2 of A235248.

%H R. H. Hardin, <a href="/A235242/b235242.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) +74*a(n-2) -1028*a(n-3) -1552*a(n-4) +46036*a(n-5) -24442*a(n-6) -1177460*a(n-7) +1943623*a(n-8) +18929582*a(n-9) -46678364*a(n-10) -197883208*a(n-11) +641672504*a(n-12) +1336005112*a(n-13) -5669843140*a(n-14) -5468829608*a(n-15) +33406180141*a(n-16) +10415153798*a(n-17) -132321704558*a(n-18) +11352730700*a(n-19) +350059155896*a(n-20) -111967629644*a(n-21) -608429901490*a(n-22) +262134791548*a(n-23) +679376121053*a(n-24) -292943901086*a(n-25) -478176518752*a(n-26) +156339289216*a(n-27) +209957565216*a(n-28) -34929735168*a(n-29) -53104170864*a(n-30) +1188145056*a(n-31) +6857059248*a(n-32) +568465632*a(n-33) -342553536*a(n-34) -52700544*a(n-35).

%e Some solutions for n=4:

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 05 2014

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Last modified April 24 08:48 EDT 2024. Contains 371930 sequences. (Running on oeis4.)