A368755 Number of regions in the hyperoctahedral (or cocktail party) graph of order n.

0, 2, 18, 64, 186, 380, 838, 1504, 2242, 4082, 6266, 8320, 13010, 17866, 20218, 31808, 41390, 50100, 66530, 82560, 93446, 123642, 149398, 171920, 212166, 249810, 283678, 340704, 394882, 428892, 521406, 594560, 659382, 764866, 863154, 954192, 1086490, 1212506, 1326654, 1498720, 1660278

Offset: 1

Author

Scott R. Shannon, Jan 04 2024

Keywords

• nonn

Links

• Scott R. Shannon, Image for n = 2.
• Scott R. Shannon, Image for n = 3.
• Scott R. Shannon, Image for n = 4.
• Scott R. Shannon, Image for n = 5.
• Scott R. Shannon, Image for n = 6.
• Scott R. Shannon, Image for n = 9.
• Scott R. Shannon, Image for n = 10.
• Eric Weisstein's World of Mathematics, Cocktail Party Graph.

Crossrefs

Cf. A368756 (vertices), A368757 (edges), A368758 (k-gons), A129348, A193130, A282010.

Formula

a(n) = A368757(n) - A368756(n) + 1 by Euler's formula.