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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.
6
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
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
KEYWORD
nonn,tabf
AUTHOR
Scott R. Shannon, Jan 04 2024
STATUS
approved