login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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

%I #16 Apr 08 2012 09:04:08

%S 1,1,2,3,7,14,36,74,201,425,1178,2515,7063,15209,43088,93382,266236,

%T 579950,1661548,3634062,10451798,22935259,66170288,145601216,

%U 421164456,928875440,2692737120,5950570725,17282501978,38257352346,111292168834,246730727752,718763328317,1595578916923,4653944394630

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

%C a(2n) = A210346(n). For even n, the complementary sequence has all odd degrees.

%e For n=3, there are only two degree sequences with all even terms are possible: {0,0,0} and {2,2,2}. Thus, a(3)=2.

%Y Cf. A210346, A049339

%K nonn

%O 1,3

%A _Tanya Khovanova_ and Dai Yang, Mar 20 2012

%E a(13)-a(35) from _Robert Gerbicz_, Apr 08 2012