A305830 - cp's OEIS frontend

A305830 Combined weight of the n-th FDH set-system. Factor n into distinct Fermi-Dirac primes (A050376), normalize by replacing every instance of the k-th Fermi-Dirac prime with k, then add up their FD-weights (A064547).

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	1
7	1
8	1
9	2
10	1
11	1
12	2
13	2
14	1
15	2
16	1
17	2
18	2
19	1
20	2
21	2
22	1
23	2
24	2
25	1
26	2
27	3
28	2
29	2
30	2
31	2
32	1
33	2
34	2
35	2
36	3
37	1
38	1
39	3
40	2
41	1
42	2
43	2
44	2
45	3
46	2
47	1
48	2
49	2
50	1
51	3
52	3
53	2
54	3
55	2
56	2
57	2
58	2
59	2
60	3
61	1
62	2
63	3
64	2
65	3
66	2
67	3
68	3
69	3
70	2
71	1
72	3
73	2
74	1
75	2
76	2
77	2
78	3
79	2
80	2
81	2
82	1
83	1
84	3
85	3
86	2
87	3

[0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 3, 1, 1, 3, 2, 1, 2, 2, 2, 3, 2, 1, 2, 2, 1, 3, 3, 2, 3, 2, 2, 2, 2, 2, 3, 1, 2, 3, 2, 3, 2, 3, 3, 3, 2, 1, 3, 2, 1, 2, 2, 2, 3, 2, 2, 2, 1, 1, 3, 3, 2, 3]

cp's OEIS Frontend

A305830 Combined weight of the n-th FDH set-system. Factor n into distinct Fermi-Dirac primes (A050376), normalize by replacing every instance of the k-th Fermi-Dirac prime with k, then add up their FD-weights (A064547).

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	1
7	1
8	1
9	2
10	1
11	1
12	2
13	2
14	1
15	2
16	1
17	2
18	2
19	1
20	2
21	2
22	1
23	2
24	2
25	1
26	2
27	3
28	2
29	2
30	2
31	2
32	1
33	2
34	2
35	2
36	3
37	1
38	1
39	3
40	2
41	1
42	2
43	2
44	2
45	3
46	2
47	1
48	2
49	2
50	1
51	3
52	3
53	2
54	3
55	2
56	2
57	2
58	2
59	2
60	3
61	1
62	2
63	3
64	2
65	3
66	2
67	3
68	3
69	3
70	2
71	1
72	3
73	2
74	1
75	2
76	2
77	2
78	3
79	2
80	2
81	2
82	1
83	1
84	3
85	3
86	2
87	3

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	1
7	1
8	1
9	2
10	1
11	1
12	2
13	2
14	1
15	2
16	1
17	2
18	2
19	1
20	2
21	2
22	1
23	2
24	2
25	1
26	2
27	3
28	2
29	2
30	2
31	2
32	1
33	2
34	2
35	2
36	3
37	1
38	1
39	3
40	2
41	1
42	2
43	2
44	2
45	3
46	2
47	1
48	2
49	2
50	1
51	3
52	3
53	2
54	3
55	2
56	2
57	2
58	2
59	2
60	3
61	1
62	2
63	3
64	2
65	3
66	2
67	3
68	3
69	3
70	2
71	1
72	3
73	2
74	1
75	2
76	2
77	2
78	3
79	2
80	2
81	2
82	1
83	1
84	3
85	3
86	2
87	3

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	1
7	1
8	1
9	2
10	1
11	1
12	2
13	2
14	1
15	2
16	1
17	2
18	2
19	1
20	2
21	2
22	1
23	2
24	2
25	1
26	2
27	3
28	2
29	2
30	2
31	2
32	1
33	2
34	2
35	2
36	3
37	1
38	1
39	3
40	2
41	1
42	2
43	2
44	2
45	3
46	2
47	1
48	2
49	2
50	1
51	3
52	3
53	2
54	3
55	2
56	2
57	2
58	2
59	2
60	3
61	1
62	2
63	3
64	2
65	3
66	2
67	3
68	3
69	3
70	2
71	1
72	3
73	2
74	1
75	2
76	2
77	2
78	3
79	2
80	2
81	2
82	1
83	1
84	3
85	3
86	2
87	3