A225592 - cp's OEIS frontend

A225592 a(n) = size of the network of triangular(n). Distinct triangular numbers T and R are directly connected if R = T*k, and k>0 is a triangular number less than T. Numbers belong to the same network if there is a chain of direct connections between them.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	7
7	1
8	1
9	2
10	8
11	2
12	3
13	7
14	7
15	1
16	1
17	1
18	5
19	4
20	7
21	2
22	3
23	4
24	1
25	1
26	1
27	1
28	2
29	2
30	1
31	1
32	1
33	3
34	8
35	7
36	2
37	4
38	6
39	3
40	2
41	1
42	1
43	1
44	2
45	1
46	1
47	1
48	1
49	1
50	2
51	3
52	1
53	1
54	1
55	8
56	1
57	1
58	1
59	2
60	1
61	4
62	1
63	2
64	2
65	1
66	1
67	1
68	3
69	2
70	3
71	1
72	1
73	1
74	1
75	4
76	3
77	2
78	5
79	2
80	1
81	1
82	1
83	1
84	8
85	1
86	1
87	1
88	1
89	1
90	7
91	2

[1, 1, 1, 1, 2, 7, 1, 1, 2, 8, 2, 3, 7, 7, 1, 1, 1, 5, 4, 7, 2, 3, 4, 1, 1, 1, 1, 2, 2, 1, 1, 1, 3, 8, 7, 2, 4, 6, 3, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 8, 1, 1, 1, 2, 1, 4, 1, 2, 2, 1, 1, 1, 3, 2, 3, 1, 1, 1, 1, 4, 3, 2, 5, 2, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 7, 2]

cp's OEIS Frontend

A225592 a(n) = size of the network of triangular(n). Distinct triangular numbers T and R are directly connected if R = T*k, and k>0 is a triangular number less than T. Numbers belong to the same network if there is a chain of direct connections between them.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	7
7	1
8	1
9	2
10	8
11	2
12	3
13	7
14	7
15	1
16	1
17	1
18	5
19	4
20	7
21	2
22	3
23	4
24	1
25	1
26	1
27	1
28	2
29	2
30	1
31	1
32	1
33	3
34	8
35	7
36	2
37	4
38	6
39	3
40	2
41	1
42	1
43	1
44	2
45	1
46	1
47	1
48	1
49	1
50	2
51	3
52	1
53	1
54	1
55	8
56	1
57	1
58	1
59	2
60	1
61	4
62	1
63	2
64	2
65	1
66	1
67	1
68	3
69	2
70	3
71	1
72	1
73	1
74	1
75	4
76	3
77	2
78	5
79	2
80	1
81	1
82	1
83	1
84	8
85	1
86	1
87	1
88	1
89	1
90	7
91	2

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	7
7	1
8	1
9	2
10	8
11	2
12	3
13	7
14	7
15	1
16	1
17	1
18	5
19	4
20	7
21	2
22	3
23	4
24	1
25	1
26	1
27	1
28	2
29	2
30	1
31	1
32	1
33	3
34	8
35	7
36	2
37	4
38	6
39	3
40	2
41	1
42	1
43	1
44	2
45	1
46	1
47	1
48	1
49	1
50	2
51	3
52	1
53	1
54	1
55	8
56	1
57	1
58	1
59	2
60	1
61	4
62	1
63	2
64	2
65	1
66	1
67	1
68	3
69	2
70	3
71	1
72	1
73	1
74	1
75	4
76	3
77	2
78	5
79	2
80	1
81	1
82	1
83	1
84	8
85	1
86	1
87	1
88	1
89	1
90	7
91	2

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	7
7	1
8	1
9	2
10	8
11	2
12	3
13	7
14	7
15	1
16	1
17	1
18	5
19	4
20	7
21	2
22	3
23	4
24	1
25	1
26	1
27	1
28	2
29	2
30	1
31	1
32	1
33	3
34	8
35	7
36	2
37	4
38	6
39	3
40	2
41	1
42	1
43	1
44	2
45	1
46	1
47	1
48	1
49	1
50	2
51	3
52	1
53	1
54	1
55	8
56	1
57	1
58	1
59	2
60	1
61	4
62	1
63	2
64	2
65	1
66	1
67	1
68	3
69	2
70	3
71	1
72	1
73	1
74	1
75	4
76	3
77	2
78	5
79	2
80	1
81	1
82	1
83	1
84	8
85	1
86	1
87	1
88	1
89	1
90	7
91	2