A348944 - cp's OEIS frontend

A348944 a(n) = (1/2) * (A003959(n)+A034448(n)), where A003959 is multiplicative with a(p^e) = (p+1)^e and A034448 (usigma) is multiplicative with a(p^e) = (p^e)+1.

n	a(n)
1	1
2	3
3	4
4	7
5	6
6	12
7	8
8	18
9	13
10	18
11	12
12	28
13	14
14	24
15	24
16	49
17	18
18	39
19	20
20	42
21	32
22	36
23	24
24	72
25	31
26	42
27	46
28	56
29	30
30	72
31	32
32	138
33	48
34	54
35	48
36	97
37	38
38	60
39	56
40	108
41	42
42	96
43	44
44	84
45	78
46	72
47	48
48	196
49	57
50	93
51	72
52	98
53	54
54	138
55	72
56	144
57	80
58	90
59	60
60	168
61	62
62	96
63	104
64	397
65	84
66	144
67	68
68	126
69	96
70	144
71	72
72	261
73	74
74	114
75	124
76	140
77	96

[1, 3, 4, 7, 6, 12, 8, 18, 13, 18, 12, 28, 14, 24, 24, 49, 18, 39, 20, 42, 32, 36, 24, 72, 31, 42, 46, 56, 30, 72, 32, 138, 48, 54, 48, 97, 38, 60, 56, 108, 42, 96, 44, 84, 78, 72, 48, 196, 57, 93, 72, 98, 54, 138, 72, 144, 80, 90, 60, 168, 62, 96, 104, 397, 84, 144, 68, 126, 96, 144, 72, 261, 74, 114, 124, 140, 96]

cp's OEIS Frontend

A348944 a(n) = (1/2) * (A003959(n)+A034448(n)), where A003959 is multiplicative with a(p^e) = (p+1)^e and A034448 (usigma) is multiplicative with a(p^e) = (p^e)+1.

Table of values

List of values

n	a(n)
1	1
2	3
3	4
4	7
5	6
6	12
7	8
8	18
9	13
10	18
11	12
12	28
13	14
14	24
15	24
16	49
17	18
18	39
19	20
20	42
21	32
22	36
23	24
24	72
25	31
26	42
27	46
28	56
29	30
30	72
31	32
32	138
33	48
34	54
35	48
36	97
37	38
38	60
39	56
40	108
41	42
42	96
43	44
44	84
45	78
46	72
47	48
48	196
49	57
50	93
51	72
52	98
53	54
54	138
55	72
56	144
57	80
58	90
59	60
60	168
61	62
62	96
63	104
64	397
65	84
66	144
67	68
68	126
69	96
70	144
71	72
72	261
73	74
74	114
75	124
76	140
77	96

n	a(n)
1	1
2	3
3	4
4	7
5	6
6	12
7	8
8	18
9	13
10	18
11	12
12	28
13	14
14	24
15	24
16	49
17	18
18	39
19	20
20	42
21	32
22	36
23	24
24	72
25	31
26	42
27	46
28	56
29	30
30	72
31	32
32	138
33	48
34	54
35	48
36	97
37	38
38	60
39	56
40	108
41	42
42	96
43	44
44	84
45	78
46	72
47	48
48	196
49	57
50	93
51	72
52	98
53	54
54	138
55	72
56	144
57	80
58	90
59	60
60	168
61	62
62	96
63	104
64	397
65	84
66	144
67	68
68	126
69	96
70	144
71	72
72	261
73	74
74	114
75	124
76	140
77	96

n	a(n)
1	1
2	3
3	4
4	7
5	6
6	12
7	8
8	18
9	13
10	18
11	12
12	28
13	14
14	24
15	24
16	49
17	18
18	39
19	20
20	42
21	32
22	36
23	24
24	72
25	31
26	42
27	46
28	56
29	30
30	72
31	32
32	138
33	48
34	54
35	48
36	97
37	38
38	60
39	56
40	108
41	42
42	96
43	44
44	84
45	78
46	72
47	48
48	196
49	57
50	93
51	72
52	98
53	54
54	138
55	72
56	144
57	80
58	90
59	60
60	168
61	62
62	96
63	104
64	397
65	84
66	144
67	68
68	126
69	96
70	144
71	72
72	261
73	74
74	114
75	124
76	140
77	96