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 A234146 Number of (n+1) X (1+1) 0..5 arrays with every 2 X 2 subblock having the sum of the absolute values of the edge differences equal to 10 and no adjacent elements equal. 1

%I

%S 184,1264,8752,62004,439572,3129240,22275612,158687156,1130414100,

%T 8053620640,57377216736,408788140012,2912431493704,20749855456308,

%U 147833924812756,1053254915776492,7503999725717600,53462860382183344

%N Number of (n+1) X (1+1) 0..5 arrays with every 2 X 2 subblock having the sum of the absolute values of the edge differences equal to 10 and no adjacent elements equal.

%H R. H. Hardin, <a href="/A234146/b234146.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) + 25*a(n-2) - 105*a(n-3) - 192*a(n-4) + 494*a(n-5) + 478*a(n-6) - 322*a(n-7) - 204*a(n-8).

%F Empirical g.f.: 4*x*(46 + 40*x - 858*x^2 - 697*x^3 + 4199*x^4 + 3115*x^5 - 2673*x^6 - 1530*x^7) / ((1 - 6*x - 25*x^2 + 105*x^3 + 192*x^4 - 494*x^5 - 478*x^6 + 322*x^7 + 204*x^8)). - _Colin Barker_, Oct 13 2018

%e Some solutions for n=4:

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

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

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

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

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

%Y Column 1 of A234152.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2013

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Last modified November 28 08:12 EST 2021. Contains 349401 sequences. (Running on oeis4.)