A359690
Number of vertices in a regular drawing of a complete bipartite graph where the vertex positions on each part equal the Farey series of order n.
Original entry on oeis.org
5, 13, 69, 289, 1971, 3997, 20371, 45751, 120957, 205299, 629847, 897801, 2334409, 3461459, 5517131, 8468061
Offset: 1
Cf.
A359691 (crossings),
A359692 (regions),
A359693 (edges),
A359694 (k-gons),
A005728,
A331755,
A359654,
A358887,
A358883,
A006842,
A006843.
A359694
Irregular table read by rows: T(n,k) is the number of k-gons, k>=3, in a regular drawing of a complete bipartite graph where the vertex positions on each part equal the Farey series of order n.
Original entry on oeis.org
2, 10, 2, 70, 24, 218, 160, 4, 1254, 1068, 148, 16, 2254, 2414, 252, 26, 10082, 11760, 1980, 266, 12, 21410, 25958, 5096, 648, 36, 4, 53422, 68208, 14360, 1980, 168, 20, 86986, 118922, 24028, 3056, 248, 12, 0, 2, 255678, 346676, 84344, 12774, 1132, 110, 4, 2, 365674, 493530, 119820, 18600, 1624, 112, 4
Offset: 1
The table begins:
2;
10, 2;
70, 24;
218, 160, 4;
1254, 1068, 148, 16;
2254, 2414, 252, 26;
10082, 11760, 1980, 266, 12;
21410, 25958, 5096, 648, 36, 4;
53422, 68208, 14360, 1980, 168, 20;
86986, 118922, 24028, 3056, 248, 12, 0, 2;
255678, 346676, 84344, 12774, 1132, 110, 4, 2;
365674, 493530, 119820, 18600, 1624, 112, 4;
917478, 1244492, 334096, 57080, 5700, 478, 16, 4;
1335398, 1862666, 495536, 82642, 8096, 676, 24, 6;
2107042, 2989864, 788340, 128378, 12536, 932, 52, 4;
3195474, 4557430, 1230300, 205352, 20516, 1664, 80, 4;
.
.
Cf.
A359690 (vertices),
A359691 (crossings),
A359692 (regions),
A359693 (edges),
A005728,
A290131,
A359653,
A358886,
A358882,
A006842,
A006843.
A359693
Number of edges in a regular drawing of a complete bipartite graph where the vertex positions on each part equal the Farey series of order n.
Original entry on oeis.org
6, 24, 162, 670, 4456, 8942, 44470, 98902, 259114, 438552, 1330566, 1897164, 4893752, 7246502, 11544278, 17678880
Offset: 1
Cf.
A359690 (vertices),
A359691 (crossings),
A359692 (regions),
A359694 (k-gons),
A005728,
A290132,
A359655,
A358888,
A358884,
A006842,
A006843.
A359691
Number of crossings in a regular drawing of a complete bipartite graph where the vertex positions on each part equal the Farey series of order n.
Original entry on oeis.org
1, 7, 59, 275, 1949, 3971, 20333, 45705, 120899, 205233, 629761, 897707, 2334291, 3461329, 5516985, 8467899
Offset: 1
Cf.
A359690 (vertices),
A359692 (regions),
A359693 (edges),
A359694 (k-gons),
A005728,
A159065,
A331755,
A359654,
A358887,
A358883,
A006842,
A006843.
Showing 1-4 of 4 results.
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