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trim_tree_semigroups

Algorithm to explore the trimmed tree of numerical semigroups

Search for wilf counter examples in trimmed tree $\mathcal{T}_{100}(3)$ :

$g$ $n_g$
0 1
1 1
2 1
3 1
4 2
5 3
6 4
7 6
8 9
9 13
10 19
11 28
12 41
13 60
14 88
15 129
16 189
17 277
18 406
19 595
20 872
21 1 278
22 1 870
23 2 741
24 4 019
25 5 888
26 8 622
27 12 634
28 18 513
29 27 128
30 39 749
31 58 192
32 85 285
33 124 928
34 183 029
35 268 072
36 392 646
37 575 237
38 842 632
39 1 234 294
40 1 808 003
41 2 648 088
42 3 878 863
43 5 681 044
44 8 320 312
45 12 184 995
46 17 844 810
47 26 134 470
48 38 275 824
49 56 052 677
50 82 079 784
51 120 191 188
52 176 010 965
53 257 743 713
54 377 377 331
55 552 530 112
56 809 003 680
57 1 184 568 132
58 1 734 367 942
59 2 539 101 162
60 3 717 160 466
61 5 441 979 825
62 7 967 290 270
63 11 663 422 314
64 17 072 801 062
65 24 990 316 134
66 36 581 421 194
67 53 548 048 989
68 78 371 434 661
69 114 677 728 452
70 167 759 612 028
71 245 327 971 537
72 358 502 883 157
73 523 268 737 918
74 762 512 542 535
75 1 108 797 952 894
76 1 608 029 199 893
77 2 323 793 898 612
78 3 343 540 732 459
79 4 786 270 172 173
80 6 811 932 935 500
81 9 633 271 340 874
82 13 524 365 031 892
83 18 835 200 708 312
84 26 006 592 640 071
85 35 586 447 144 420
86 48 235 329 094 317
87 64 707 333 203 651
88 85 854 587 472 809
89 112 592 214 454 082
90 145 836 255 324 616
91 186 464 879 487 116
92 234 882 687 403 501
93 290 865 320 646 279
94 353 167 513 519 152
95 419 043 410 131 476
96 483 141 727 918 288
97 534 768 932 735 380
98 557 018 016 635 015
99 522 447 041 258 147
100 389 883 092 218 470

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Algorithm to explore the trimmed tree of numerical semigroups

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