A348937 - cp's OEIS frontend

A348937 a(n) = A003961(n) - A003415(n), where A003961 shifts the prime factorization of n one step towards larger primes, and A003415 gives the arithmetic derivative of n.

n	a(n)
1	1
2	2
3	4
4	5
5	6
6	10
7	10
8	15
9	19
10	14
11	12
12	29
13	16
14	24
15	27
16	49
17	18
18	54
19	22
20	39
21	45
22	26
23	28
24	91
25	39
26	36
27	98
28	67
29	30
30	74
31	36
32	163
33	51
34	38
35	65
36	165
37	40
38	48
39	69
40	121
41	42
42	124
43	46
44	69
45	136
46	62
47	52
48	293
49	107
50	102
51	75
52	97
53	58
54	294
55	75
56	205
57	93
58	62
59	60
60	223
61	66
62	78
63	224
64	537
65	101
66	134
67	70
68	99
69	119
70	172
71	72
72	519
73	78
74	84
75	190
76	127

[1, 2, 4, 5, 6, 10, 10, 15, 19, 14, 12, 29, 16, 24, 27, 49, 18, 54, 22, 39, 45, 26, 28, 91, 39, 36, 98, 67, 30, 74, 36, 163, 51, 38, 65, 165, 40, 48, 69, 121, 42, 124, 46, 69, 136, 62, 52, 293, 107, 102, 75, 97, 58, 294, 75, 205, 93, 62, 60, 223, 66, 78, 224, 537, 101, 134, 70, 99, 119, 172, 72, 519, 78, 84, 190, 127]

cp's OEIS Frontend

A348937 a(n) = A003961(n) - A003415(n), where A003961 shifts the prime factorization of n one step towards larger primes, and A003415 gives the arithmetic derivative of n.

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	5
5	6
6	10
7	10
8	15
9	19
10	14
11	12
12	29
13	16
14	24
15	27
16	49
17	18
18	54
19	22
20	39
21	45
22	26
23	28
24	91
25	39
26	36
27	98
28	67
29	30
30	74
31	36
32	163
33	51
34	38
35	65
36	165
37	40
38	48
39	69
40	121
41	42
42	124
43	46
44	69
45	136
46	62
47	52
48	293
49	107
50	102
51	75
52	97
53	58
54	294
55	75
56	205
57	93
58	62
59	60
60	223
61	66
62	78
63	224
64	537
65	101
66	134
67	70
68	99
69	119
70	172
71	72
72	519
73	78
74	84
75	190
76	127

n	a(n)
1	1
2	2
3	4
4	5
5	6
6	10
7	10
8	15
9	19
10	14
11	12
12	29
13	16
14	24
15	27
16	49
17	18
18	54
19	22
20	39
21	45
22	26
23	28
24	91
25	39
26	36
27	98
28	67
29	30
30	74
31	36
32	163
33	51
34	38
35	65
36	165
37	40
38	48
39	69
40	121
41	42
42	124
43	46
44	69
45	136
46	62
47	52
48	293
49	107
50	102
51	75
52	97
53	58
54	294
55	75
56	205
57	93
58	62
59	60
60	223
61	66
62	78
63	224
64	537
65	101
66	134
67	70
68	99
69	119
70	172
71	72
72	519
73	78
74	84
75	190
76	127

n	a(n)
1	1
2	2
3	4
4	5
5	6
6	10
7	10
8	15
9	19
10	14
11	12
12	29
13	16
14	24
15	27
16	49
17	18
18	54
19	22
20	39
21	45
22	26
23	28
24	91
25	39
26	36
27	98
28	67
29	30
30	74
31	36
32	163
33	51
34	38
35	65
36	165
37	40
38	48
39	69
40	121
41	42
42	124
43	46
44	69
45	136
46	62
47	52
48	293
49	107
50	102
51	75
52	97
53	58
54	294
55	75
56	205
57	93
58	62
59	60
60	223
61	66
62	78
63	224
64	537
65	101
66	134
67	70
68	99
69	119
70	172
71	72
72	519
73	78
74	84
75	190
76	127