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A220560 Number of ways to reciprocally link elements of an nX6 array either to themselves or to exactly one horizontal or antidiagonal neighbor 1

%I #4 Dec 16 2012 05:49:34

%S 13,481,16310,561636,19333688,665748170,22926570957,789539775889,

%T 27190037181789,936366170726784,32246430390993213,1110497486239608510,

%U 38243137393453789704,1317011137774021018880,45355021979509463823738

%N Number of ways to reciprocally link elements of an nX6 array either to themselves or to exactly one horizontal or antidiagonal neighbor

%C Column 6 of A220562

%H R. H. Hardin, <a href="/A220560/b220560.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 43*a(n-1) -317*a(n-2) +783*a(n-3) -721*a(n-4) +375*a(n-5) -125*a(n-6) +19*a(n-7) -a(n-8) for n>9

%e Some solutions for n=3 0=self 3=ne 4=w 6=e 7=sw (reciprocal directions total 10)

%e ..0..7..6..4..0..0....6..4..6..4..6..4....0..0..0..7..0..0....0..0..0..7..0..7

%e ..3..0..7..0..6..4....0..0..0..0..7..0....0..7..3..7..6..4....6..4..3..0..3..0

%e ..0..3..0..6..4..0....6..4..0..3..0..0....3..0..3..0..6..4....0..0..0..0..0..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 16 2012

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Last modified June 15 18:41 EDT 2024. Contains 373410 sequences. (Running on oeis4.)