A358235 - cp's OEIS frontend

A358235 Number of ways n' (the arithmetic derivative of n) can be formed as a sum (x * y') + (x' * y) from two factors x and y of n, with x <= y, so that the said sum does not involve any carries when the addition is done in the primorial base.

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	2
7	1
8	1
9	1
10	1
11	1
12	3
13	1
14	2
15	1
16	1
17	1
18	3
19	1
20	1
21	1
22	1
23	1
24	3
25	1
26	2
27	2
28	1
29	1
30	1
31	1
32	2
33	1
34	1
35	1
36	2
37	1
38	2
39	1
40	2
41	1
42	2
43	1
44	1
45	2
46	1
47	1
48	4
49	1
50	1
51	1
52	2
53	1
54	3
55	1
56	1
57	1
58	1
59	1
60	3
61	1
62	2
63	3
64	2
65	1
66	1
67	1
68	1
69	1
70	4
71	1
72	3
73	1
74	2
75	2
76	2
77	1
78	3
79	1
80	3
81	1
82	1
83	1
84	1
85	1
86	2
87	1
88	3
89	1
90	3
91	1
92	1
93	1
94	1
95	1
96	2
97	1
98	2
99	3
100	3
101	1
102	1
103	1
104	3
105	2
106	1
107	1
108	1
109	1
110	2

[1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 4, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 3, 1, 2, 3, 2, 1, 1, 1, 1, 1, 4, 1, 3, 1, 2, 2, 2, 1, 3, 1, 3, 1, 1, 1, 1, 1, 2, 1, 3, 1, 3, 1, 1, 1, 1, 1, 2, 1, 2, 3, 3, 1, 1, 1, 3, 2, 1, 1, 1, 1, 2]

cp's OEIS Frontend

A358235 Number of ways n' (the arithmetic derivative of n) can be formed as a sum (x * y') + (x' * y) from two factors x and y of n, with x <= y, so that the said sum does not involve any carries when the addition is done in the primorial base.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	2
7	1
8	1
9	1
10	1
11	1
12	3
13	1
14	2
15	1
16	1
17	1
18	3
19	1
20	1
21	1
22	1
23	1
24	3
25	1
26	2
27	2
28	1
29	1
30	1
31	1
32	2
33	1
34	1
35	1
36	2
37	1
38	2
39	1
40	2
41	1
42	2
43	1
44	1
45	2
46	1
47	1
48	4
49	1
50	1
51	1
52	2
53	1
54	3
55	1
56	1
57	1
58	1
59	1
60	3
61	1
62	2
63	3
64	2
65	1
66	1
67	1
68	1
69	1
70	4
71	1
72	3
73	1
74	2
75	2
76	2
77	1
78	3
79	1
80	3
81	1
82	1
83	1
84	1
85	1
86	2
87	1
88	3
89	1
90	3
91	1
92	1
93	1
94	1
95	1
96	2
97	1
98	2
99	3
100	3
101	1
102	1
103	1
104	3
105	2
106	1
107	1
108	1
109	1
110	2

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	2
7	1
8	1
9	1
10	1
11	1
12	3
13	1
14	2
15	1
16	1
17	1
18	3
19	1
20	1
21	1
22	1
23	1
24	3
25	1
26	2
27	2
28	1
29	1
30	1
31	1
32	2
33	1
34	1
35	1
36	2
37	1
38	2
39	1
40	2
41	1
42	2
43	1
44	1
45	2
46	1
47	1
48	4
49	1
50	1
51	1
52	2
53	1
54	3
55	1
56	1
57	1
58	1
59	1
60	3
61	1
62	2
63	3
64	2
65	1
66	1
67	1
68	1
69	1
70	4
71	1
72	3
73	1
74	2
75	2
76	2
77	1
78	3
79	1
80	3
81	1
82	1
83	1
84	1
85	1
86	2
87	1
88	3
89	1
90	3
91	1
92	1
93	1
94	1
95	1
96	2
97	1
98	2
99	3
100	3
101	1
102	1
103	1
104	3
105	2
106	1
107	1
108	1
109	1
110	2

n	a(n)
1	1
2	1
3	1
4	2
5	1
6	2
7	1
8	1
9	1
10	1
11	1
12	3
13	1
14	2
15	1
16	1
17	1
18	3
19	1
20	1
21	1
22	1
23	1
24	3
25	1
26	2
27	2
28	1
29	1
30	1
31	1
32	2
33	1
34	1
35	1
36	2
37	1
38	2
39	1
40	2
41	1
42	2
43	1
44	1
45	2
46	1
47	1
48	4
49	1
50	1
51	1
52	2
53	1
54	3
55	1
56	1
57	1
58	1
59	1
60	3
61	1
62	2
63	3
64	2
65	1
66	1
67	1
68	1
69	1
70	4
71	1
72	3
73	1
74	2
75	2
76	2
77	1
78	3
79	1
80	3
81	1
82	1
83	1
84	1
85	1
86	2
87	1
88	3
89	1
90	3
91	1
92	1
93	1
94	1
95	1
96	2
97	1
98	2
99	3
100	3
101	1
102	1
103	1
104	3
105	2
106	1
107	1
108	1
109	1
110	2