A368758 Irregular table read by rows: T(n,k) is the number of k-sided regions, k>=3, in the hyperoctahedral (or cocktail party) graph of order n.

0, 2, 14, 2, 2, 42, 22, 100, 72, 12, 2, 234, 142, 4, 418, 320, 90, 10, 734, 610, 116, 44, 1248, 878, 82, 20, 14, 1968, 1454, 534, 98, 12, 16, 2696, 2662, 744, 74, 56, 34, 4040, 3434, 770, 74, 0, 2, 5806, 4722, 1932, 430, 94, 26, 7706, 7102, 2048, 894, 92, 24, 10868, 7492, 1448, 406, 4

Offset

1,2

Comments

See A368755 and A368756 for further images of the graphs.

Links

Table of n, a(n) for n=1..62.

Scott R. Shannon, Image for T(8,k).

Eric Weisstein's World of Mathematics, Cocktail Party Graph.

Formula

Sum of row n = A368755(n).

Example

The table begins:
0;
2;
14, 2, 2;
42, 22;
100, 72, 12, 2;
234, 142, 4;
418, 320, 90, 10;
734, 610, 116, 44;
1248, 878, 82, 20, 14;
1968, 1454, 534, 98, 12, 16;
2696, 2662, 744, 74, 56, 34;
4040, 3434, 770, 74, 0, 2;
5806, 4722, 1932, 430, 94, 26;
7706, 7102, 2048, 894, 92, 24;
10868, 7492, 1448, 406, 4;
13438, 12122, 4682, 1356, 206, 4;
17438, 15950, 5420, 2194, 296, 84, 6, 2;
22990, 17734, 7166, 1976, 182, 52;
27284, 25902, 9672, 2718, 772, 182;
34160, 31164, 12650, 3710, 648, 188, 0, 0, 8, 32;
.
.

Crossrefs

Cf. A368755 (regions), A368756 (vertices), A368757 (edges), A129348, A193130, A282010.

Sequence in context: A349877 A196815 A260120 * A221234 A133420 A227628

Adjacent sequences: A368755 A368756 A368757 * A368759 A368760 A368761

Keyword

nonn,tabf

Author

Scott R. Shannon, Jan 04 2024

Status

approved