A360863
Number of unlabeled connected multigraphs with n edges and degree >= 3 at each node, loops allowed.
Original entry on oeis.org
0, 1, 3, 5, 13, 36, 99, 301, 980, 3345, 12036, 45399, 178420, 729149
Offset: 1
A360864
Number of unlabeled connected multigraphs with circuit rank n and degree >= 3 at each node, loops allowed.
Original entry on oeis.org
0, 3, 15, 111, 1076, 13870, 220520, 4185406, 92235118, 2314204852, 65129484278, 2032179006943, 69640160993587, 2600585852722150, 105127528809344785, 4574251821427917425, 213171992131468465801, 10593983324971249199532, 559293301762878627195807, 31259896932477899016109585, 1844062168535890557437809526
Offset: 1
A360866
Triangle read by rows: T(n,k) is the number of unlabeled connected loopless multigraphs with n edges on k nodes and degree >= 3 at each node, n >= 2, 1 <= k <= floor(2*n/3).
Original entry on oeis.org
0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 3, 2, 0, 1, 4, 7, 0, 1, 6, 19, 6, 0, 1, 8, 40, 37, 6, 0, 1, 10, 71, 135, 56, 0, 1, 12, 117, 366, 338, 35, 0, 1, 15, 184, 858, 1417, 494, 20, 0, 1, 17, 270, 1778, 4670, 3494, 492, 0, 1, 20, 387, 3413, 13125, 17355, 6047, 251
Offset: 2
Triangle begins:
0;
0, 1;
0, 1;
0, 1, 1;
0, 1, 3, 2;
0, 1, 4, 7;
0, 1, 6, 19, 6;
0, 1, 8, 40, 37, 6;
0, 1, 10, 71, 135, 56;
0, 1, 12, 117, 366, 338, 35;
0, 1, 15, 184, 858, 1417, 494, 20;
0, 1, 17, 270, 1778, 4670, 3494, 492;
0, 1, 20, 387, 3413, 13125, 17355, 6047, 251;
...
A360870
Triangle read by rows: T(n,k) is the number of unlabeled connected multigraphs with n edges on k nodes, no cut-points and degree >= 3 at each node, loops allowed, n >= 2, 1 <= k <= floor(2*n/3).
Original entry on oeis.org
1, 1, 2, 1, 4, 1, 7, 2, 1, 10, 8, 2, 1, 14, 19, 11, 1, 18, 40, 48, 7, 1, 23, 77, 154, 70, 5, 1, 28, 132, 421, 392, 71, 1, 34, 217, 1008, 1638, 690, 35, 1, 40, 340, 2210, 5623, 4548, 767, 16, 1, 47, 510, 4477, 16745, 22657, 8594, 566, 1, 54, 742, 8557, 44698, 92844, 64716, 11247, 226
Offset: 2
Triangle begins:
1;
1, 2;
1, 4;
1, 7, 2;
1, 10, 8, 2;
1, 14, 19, 11;
1, 18, 40, 48, 7;
1, 23, 77, 154, 70, 5;
1, 28, 132, 421, 392, 71;
1, 34, 217, 1008, 1638, 690, 35;
1, 40, 340, 2210, 5623, 4548, 767, 16;
1, 47, 510, 4477, 16745, 22657, 8594, 566;
1, 54, 742, 8557, 44698, 92844, 64716, 11247, 226;
...
Row sums except first column are
A360871.
Showing 1-4 of 4 results.
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