A340683 - cp's OEIS frontend

A340683 a(n) = A007949((A003961(A003961(n))+1)/2), where A003961 shifts the prime factorization of n one step towards larger primes, and A007949(x) gives the exponent of largest power of 3 dividing x.

n	a(n)
1	0
2	1
3	0
4	0
5	1
6	2
7	0
8	2
9	0
10	0
11	2
12	0
13	0
14	1
15	1
16	0
17	1
18	1
19	1
20	1
21	0
22	0
23	0
24	1
25	0
26	1
27	0
28	0
29	0
30	0
31	1
32	1
33	1
34	0
35	2
36	0
37	0
38	0
39	0
40	0
41	1
42	1
43	3
44	1
45	3
46	1
47	1
48	0
49	0
50	1
51	4
52	0
53	0
54	1
55	0
56	1
57	1
58	1
59	0
60	2
61	2
62	0
63	0
64	0
65	1
66	0
67	0
68	2
69	0
70	0
71	0
72	1
73	1
74	3
75	0
76	1
77	1
78	2
79	2
80	2
81	0
82	0
83	0
84	0
85	0
86	0
87	0
88	0
89	1
90	0
91	0
92	0
93	2
94	0
95	0
96	1
97	0
98	2
99	1
100	0
101	3
102	0
103	0
104	3
105	1

[0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 3, 1, 3, 1, 1, 0, 0, 1, 4, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 3, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 3, 0, 0, 3, 1]

cp's OEIS Frontend

A340683 a(n) = A007949((A003961(A003961(n))+1)/2), where A003961 shifts the prime factorization of n one step towards larger primes, and A007949(x) gives the exponent of largest power of 3 dividing x.

Table of values

List of values

n	a(n)
1	0
2	1
3	0
4	0
5	1
6	2
7	0
8	2
9	0
10	0
11	2
12	0
13	0
14	1
15	1
16	0
17	1
18	1
19	1
20	1
21	0
22	0
23	0
24	1
25	0
26	1
27	0
28	0
29	0
30	0
31	1
32	1
33	1
34	0
35	2
36	0
37	0
38	0
39	0
40	0
41	1
42	1
43	3
44	1
45	3
46	1
47	1
48	0
49	0
50	1
51	4
52	0
53	0
54	1
55	0
56	1
57	1
58	1
59	0
60	2
61	2
62	0
63	0
64	0
65	1
66	0
67	0
68	2
69	0
70	0
71	0
72	1
73	1
74	3
75	0
76	1
77	1
78	2
79	2
80	2
81	0
82	0
83	0
84	0
85	0
86	0
87	0
88	0
89	1
90	0
91	0
92	0
93	2
94	0
95	0
96	1
97	0
98	2
99	1
100	0
101	3
102	0
103	0
104	3
105	1

n	a(n)
1	0
2	1
3	0
4	0
5	1
6	2
7	0
8	2
9	0
10	0
11	2
12	0
13	0
14	1
15	1
16	0
17	1
18	1
19	1
20	1
21	0
22	0
23	0
24	1
25	0
26	1
27	0
28	0
29	0
30	0
31	1
32	1
33	1
34	0
35	2
36	0
37	0
38	0
39	0
40	0
41	1
42	1
43	3
44	1
45	3
46	1
47	1
48	0
49	0
50	1
51	4
52	0
53	0
54	1
55	0
56	1
57	1
58	1
59	0
60	2
61	2
62	0
63	0
64	0
65	1
66	0
67	0
68	2
69	0
70	0
71	0
72	1
73	1
74	3
75	0
76	1
77	1
78	2
79	2
80	2
81	0
82	0
83	0
84	0
85	0
86	0
87	0
88	0
89	1
90	0
91	0
92	0
93	2
94	0
95	0
96	1
97	0
98	2
99	1
100	0
101	3
102	0
103	0
104	3
105	1

n	a(n)
1	0
2	1
3	0
4	0
5	1
6	2
7	0
8	2
9	0
10	0
11	2
12	0
13	0
14	1
15	1
16	0
17	1
18	1
19	1
20	1
21	0
22	0
23	0
24	1
25	0
26	1
27	0
28	0
29	0
30	0
31	1
32	1
33	1
34	0
35	2
36	0
37	0
38	0
39	0
40	0
41	1
42	1
43	3
44	1
45	3
46	1
47	1
48	0
49	0
50	1
51	4
52	0
53	0
54	1
55	0
56	1
57	1
58	1
59	0
60	2
61	2
62	0
63	0
64	0
65	1
66	0
67	0
68	2
69	0
70	0
71	0
72	1
73	1
74	3
75	0
76	1
77	1
78	2
79	2
80	2
81	0
82	0
83	0
84	0
85	0
86	0
87	0
88	0
89	1
90	0
91	0
92	0
93	2
94	0
95	0
96	1
97	0
98	2
99	1
100	0
101	3
102	0
103	0
104	3
105	1