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

1,2

Links

Table of n, a(n) for n=1..41.

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.

Formula

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

Crossrefs

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

Sequence in context: A213820 A078837 A232155 * A112365 A242200 A258929

Adjacent sequences: A368752 A368753 A368754 * A368756 A368757 A368758

Keyword

nonn

Author

Scott R. Shannon, Jan 04 2024

Status

approved