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A233710 Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having the sum of the squares of the edge differences equal to 14. 1

%I #8 Oct 11 2018 11:23:53

%S 96,444,1992,9100,41256,187780,853104,3879380,17632896,80165004,

%T 364415160,1656658972,7531077336,34236366580,155637689056,

%U 707528207972,3216412089072,14621779785788,66470416900008,302173810603052

%N Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having the sum of the squares of the edge differences equal to 14.

%H R. H. Hardin, <a href="/A233710/b233710.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-2) + 14*a(n-3) - 129*a(n-4) - 68*a(n-5) + 228*a(n-6) + 64*a(n-7) - 128*a(n-8).

%F Empirical g.f.: 4*x*(24 + 111*x - 78*x^2 - 725*x^3 - 96*x^4 + 1324*x^5 + 208*x^6 - 736*x^7) / (1 - 24*x^2 - 14*x^3 + 129*x^4 + 68*x^5 - 228*x^6 - 64*x^7 + 128*x^8). - _Colin Barker_, Oct 11 2018

%e Some solutions for n=5:

%e ..4..2....1..3....2..4....4..2....4..3....3..4....0..0....2..4....3..2....4..2

%e ..1..2....4..4....1..1....1..1....1..1....3..1....3..1....1..4....3..0....4..1

%e ..1..4....3..1....2..4....4..3....3..0....3..4....3..0....3..3....1..1....4..3

%e ..2..2....0..1....1..1....4..1....1..1....1..4....3..2....1..4....0..3....4..1

%e ..4..1....3..1....0..3....2..1....0..3....1..3....0..0....3..3....0..1....3..1

%e ..4..3....0..1....2..3....4..4....2..2....1..0....1..3....0..2....3..3....0..1

%Y Column 1 of A233717.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 15 2013

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)