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A210346 The number of degree sequences of simple graphs with 2n vertices with all odd degrees. 2

%I #15 Apr 08 2012 09:06:44

%S 1,3,14,74,425,2515,15209,93382,579950,3634062,22935259,145601216,

%T 928875440,5950570725,38257352346,246730727752,1595578916923

%N The number of degree sequences of simple graphs with 2n vertices with all odd degrees.

%C The graphs with an odd number of vertices can't have all odd degrees.

%C a(n) = A210345(2n). The complementary sequence has all even degrees.

%e For 4 vertices, there are three degree sequences with all terms odd: {3,3,3,3}, {3,1,1,1}, {1,1,1,1}. Thus a(2) = 3.

%Y Cf. A210345, A182012.

%K nonn,more

%O 1,2

%A _Tanya Khovanova_ and Dai Yang, Mar 20 2012

%E a(7)-a(17) from _Robert Gerbicz_, Apr 08 2012

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Last modified May 2 10:51 EDT 2024. Contains 372196 sequences. (Running on oeis4.)