A349573 - cp's OEIS frontend

A349573 a(n) = A048673(n) - n, where A048673(n) = (A003961(n)+1) / 2, and A003961(n) shifts the prime factorization of n one step towards larger primes.

n	a(n)
1	0
2	0
3	0
4	1
5	-1
6	2
7	-1
8	6
9	4
10	1
11	-4
12	11
13	-4
14	3
15	3
16	25
17	-7
18	20
19	-7
20	12
21	7
22	-2
23	-8
24	44
25	0
26	0
27	36
28	22
29	-13
30	23
31	-12
32	90
33	0
34	-5
35	4
36	77
37	-16
38	-3
39	4
40	55
41	-19
42	41
43	-19
44	15
45	43
46	-2
47	-20
48	155
49	12
50	24
51	-3
52	25
53	-23
54	134
55	-9
56	93
57	1
58	-11
59	-28
60	98
61	-27
62	-6
63	75
64	301
65	-5
66	32
67	-31
68	18
69	4
70	46
71	-34
72	266
73	-33
74	-12
75	48
76	28
77	-5
78	50
79	-37

[0, 0, 0, 1, -1, 2, -1, 6, 4, 1, -4, 11, -4, 3, 3, 25, -7, 20, -7, 12, 7, -2, -8, 44, 0, 0, 36, 22, -13, 23, -12, 90, 0, -5, 4, 77, -16, -3, 4, 55, -19, 41, -19, 15, 43, -2, -20, 155, 12, 24, -3, 25, -23, 134, -9, 93, 1, -11, -28, 98, -27, -6, 75, 301, -5, 32, -31, 18, 4, 46, -34, 266, -33, -12, 48, 28, -5, 50, -37]

cp's OEIS Frontend

A349573 a(n) = A048673(n) - n, where A048673(n) = (A003961(n)+1) / 2, and A003961(n) shifts the prime factorization of n one step towards larger primes.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	1
5	-1
6	2
7	-1
8	6
9	4
10	1
11	-4
12	11
13	-4
14	3
15	3
16	25
17	-7
18	20
19	-7
20	12
21	7
22	-2
23	-8
24	44
25	0
26	0
27	36
28	22
29	-13
30	23
31	-12
32	90
33	0
34	-5
35	4
36	77
37	-16
38	-3
39	4
40	55
41	-19
42	41
43	-19
44	15
45	43
46	-2
47	-20
48	155
49	12
50	24
51	-3
52	25
53	-23
54	134
55	-9
56	93
57	1
58	-11
59	-28
60	98
61	-27
62	-6
63	75
64	301
65	-5
66	32
67	-31
68	18
69	4
70	46
71	-34
72	266
73	-33
74	-12
75	48
76	28
77	-5
78	50
79	-37

n	a(n)
1	0
2	0
3	0
4	1
5	-1
6	2
7	-1
8	6
9	4
10	1
11	-4
12	11
13	-4
14	3
15	3
16	25
17	-7
18	20
19	-7
20	12
21	7
22	-2
23	-8
24	44
25	0
26	0
27	36
28	22
29	-13
30	23
31	-12
32	90
33	0
34	-5
35	4
36	77
37	-16
38	-3
39	4
40	55
41	-19
42	41
43	-19
44	15
45	43
46	-2
47	-20
48	155
49	12
50	24
51	-3
52	25
53	-23
54	134
55	-9
56	93
57	1
58	-11
59	-28
60	98
61	-27
62	-6
63	75
64	301
65	-5
66	32
67	-31
68	18
69	4
70	46
71	-34
72	266
73	-33
74	-12
75	48
76	28
77	-5
78	50
79	-37

n	a(n)
1	0
2	0
3	0
4	1
5	-1
6	2
7	-1
8	6
9	4
10	1
11	-4
12	11
13	-4
14	3
15	3
16	25
17	-7
18	20
19	-7
20	12
21	7
22	-2
23	-8
24	44
25	0
26	0
27	36
28	22
29	-13
30	23
31	-12
32	90
33	0
34	-5
35	4
36	77
37	-16
38	-3
39	4
40	55
41	-19
42	41
43	-19
44	15
45	43
46	-2
47	-20
48	155
49	12
50	24
51	-3
52	25
53	-23
54	134
55	-9
56	93
57	1
58	-11
59	-28
60	98
61	-27
62	-6
63	75
64	301
65	-5
66	32
67	-31
68	18
69	4
70	46
71	-34
72	266
73	-33
74	-12
75	48
76	28
77	-5
78	50
79	-37