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A078779 Union of S, 2S and 4S, where S = odd squarefree numbers (A056911).

%I A078779 #29 Nov 05 2017 12:43:07
%S A078779 1,2,3,4,5,6,7,10,11,12,13,14,15,17,19,20,21,22,23,26,28,29,30,31,33,
%T A078779 34,35,37,38,39,41,42,43,44,46,47,51,52,53,55,57,58,59,60,61,62,65,66,
%U A078779 67,68,69,70,71,73,74,76,77,78,79,82,83,84,85,86,87,89,91,92,93,94,95,97,101
%N A078779 Union of S, 2S and 4S, where S = odd squarefree numbers (A056911).
%C A078779 Numbers n such that the cyclic group Z_n is a DCI-group.
%C A078779 Numbers n such that A008475(n) = A001414(n).
%C A078779 A193551(a(n)) = A000026(a(n)) = a(n). - _Reinhard Zumkeller_, Aug 27 2011
%C A078779 Union of squarefree numbers and twice the squarefree numbers (A005117). - _Reinhard Zumkeller_, Feb 11 2012
%C A078779 The complement is A046790. - _Omar E. Pol_, Jun 11 2016
%H A078779 T. D. Noe, <a href="/A078779/b078779.txt">Table of n, a(n) for n = 1..7098</a>
%H A078779 B. Alspach and M. Mishna, <a href="http://dx.doi.org/10.1016/S0012-365X(02)00319-9">Enumeration of Cayley graphs and digraphs</a>, Discr. Math., 256 (2002), 527-539.
%H A078779 M. Mishna, <a href="http://people.math.sfu.ca/~mmishna/">Home Page</a>
%H A078779 M. Muzychuk, <a href="http://dx.doi.org/10.1016/S0012-365X(97)81804-3">On Adam's conjecture for circulant graphs</a>, Discr. Math. 167 (1997), 497-510.
%F A078779 a(n) = (Pi^2/7)*n + O(sqrt(n)). - _Vladimir Shevelev_, Jun 08 2016
%o A078779 (Haskell)
%o A078779 a078779 n = a078779_list !! (n-1)
%o A078779 a078779_list = m a005117_list $ map (* 2) a005117_list where
%o A078779    m xs'@(x:xs) ys'@(y:ys) | x < y     = x : m xs ys'
%o A078779                            | x == y    = x : m xs ys
%o A078779                            | otherwise = y : m xs' ys
%o A078779 -- _Reinhard Zumkeller_, Feb 11 2012, Aug 27 2011
%o A078779 (PARI) is(n)=issquarefree(n/gcd(n,2)) \\ _Charles R Greathouse IV_, Nov 05 2017
%Y A078779 Cf. A121176, A121684, A008475, A001414, A046790.
%K A078779 nonn
%O A078779 1,2
%A A078779 _Benoit Cloitre_, Jan 11 2003
%E A078779 Edited by _N. J. A. Sloane_, Sep 13 2006