A349123 - cp's OEIS frontend

A349123 a(n) = Sum_{d|n} A038040(n/d) * A003415(d), where A038040(n) = n*tau(n), and A003415 is the arithmetic derivative of n.

n	a(n)
1	0
2	1
3	1
4	8
5	1
6	15
7	1
8	40
9	12
10	21
11	1
12	96
13	1
14	27
15	24
16	160
17	1
18	126
19	1
20	144
21	30
22	39
23	1
24	440
25	20
26	45
27	90
28	192
29	1
30	279
31	1
32	560
33	42
34	57
35	36
36	720
37	1
38	63
39	48
40	680
41	1
42	369
43	1
44	288
45	234
46	75
47	1
48	1680
49	28
50	270
51	60
52	336
53	1
54	810
55	48
56	920
57	66
58	93
59	1
60	1656
61	1
62	99
63	306
64	1792
65	54
66	549
67	1
68	432
69	78
70	531
71	1
72	3120
73	1
74	117
75	330
76	480
77	54
78	639

[0, 1, 1, 8, 1, 15, 1, 40, 12, 21, 1, 96, 1, 27, 24, 160, 1, 126, 1, 144, 30, 39, 1, 440, 20, 45, 90, 192, 1, 279, 1, 560, 42, 57, 36, 720, 1, 63, 48, 680, 1, 369, 1, 288, 234, 75, 1, 1680, 28, 270, 60, 336, 1, 810, 48, 920, 66, 93, 1, 1656, 1, 99, 306, 1792, 54, 549, 1, 432, 78, 531, 1, 3120, 1, 117, 330, 480, 54, 639]

cp's OEIS Frontend

A349123 a(n) = Sum_{d|n} A038040(n/d) * A003415(d), where A038040(n) = n*tau(n), and A003415 is the arithmetic derivative of n.

Table of values

List of values