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A210346 The number of degree sequences of simple graphs with 2n vertices with all odd degrees. 2
1, 3, 14, 74, 425, 2515, 15209, 93382, 579950, 3634062, 22935259, 145601216, 928875440, 5950570725, 38257352346, 246730727752, 1595578916923 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

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

LINKS

Table of n, a(n) for n=1..17.

EXAMPLE

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.

CROSSREFS

Cf. A210345, A182012.

Sequence in context: A080238 A213228 A277939 * A074549 A245246 A126122

Adjacent sequences:  A210343 A210344 A210345 * A210347 A210348 A210349

KEYWORD

nonn,more

AUTHOR

Tanya Khovanova and Dai Yang, Mar 20 2012

EXTENSIONS

a(7)-a(17) from Robert Gerbicz, Apr 08 2012

STATUS

approved

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Last modified November 19 11:04 EST 2017. Contains 294936 sequences.