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%I A124356 #33 Sep 08 2022 08:45:28
%S A124356 2,8,6,12,10,16,14,20,18,24,22,28,26,32,30,36,34,40,38,44,42,48,46,52,
%T A124356 50,56,54,60,58,64,62,68,66,72,70,76,74,80,78,84,82,88,86,92,90,96,94,
%U A124356 100,98,104,102,108,106,112,110,116,114,120,118,124,122,128,126,132
%N A124356 Number of (directed) Hamiltonian cycles on the Moebius ladder graph M_n (for n>=4).
%H A124356 Vincenzo Librandi, <a href="/A124356/b124356.txt">Table of n, a(n) for n = 1..10000</a>
%H A124356 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HamiltonianCycle.html">Hamiltonian Cycle</a>
%H A124356 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/MoebiusLadder.html">Moebius Ladder</a>
%H A124356 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,-1).
%F A124356 a(n odd) = 2*n, a(n even) = 2*n+4.
%F A124356 a(n) = 2(n+1)+2(-1)^n. - _Paul Barry_, Feb 17 2008
%F A124356 a(n) -a(n-4) = 8. - _Paul Curtz_, Apr 19 2011
%F A124356 a(n) = +1*a(n-1) +1*a(n-2) -1*a(n-3). - _Joerg Arndt_, Apr 22 2011
%F A124356 G.f.: 2*x*(1+3*x-2*x^2)/((1-x)^2*(1+x)). - _Colin Barker_, Jan 23 2012
%F A124356 a(n) = 2*A014681(n+1). - _R. J. Mathar_, Nov 27 2015
%o A124356 (Magma) [2*(n+1)+2*(-1)^n: n in [1..70]]; // _Vincenzo Librandi_, Aug 11 2011
%K A124356 nonn,easy
%O A124356 1,1
%A A124356 _Eric W. Weisstein_, Nov 05 2006

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