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A368757
Number of edges in the hyperoctahedral (or cocktail party) graph of order n.
5
0, 6, 34, 112, 336, 652, 1530, 2752, 3952, 7606, 11794, 15096, 24720, 33998, 36154, 60928, 79616, 94660, 128514, 159600, 174868, 239806, 290394, 329568, 413376, 486934, 547126, 665392, 772240, 821076, 1021194, 1164800, 1280636, 1500358, 1694690, 1863288, 2135376, 2383518, 2592154
OFFSET
1,2
COMMENTS
See A368755 and A368756 for images of the graphs.
LINKS
Eric Weisstein's World of Mathematics, Cocktail Party Graph.
FORMULA
a(n) = A368755(n) + A368756(n) - 1 by Euler's formula.
CROSSREFS
Cf. A368755 (regions), A368756 (vertices), A368758 (k-gons), A129348, A193130, A282010.
Sequence in context: A281057 A341290 A061616 * A222308 A166812 A262844
KEYWORD
nonn
AUTHOR
Scott R. Shannon, Jan 04 2024
STATUS
approved