A115364 - cp's OEIS frontend

A115364 a(n) = A000217(A001511(n)), where A001511 is one more than the 2-adic valuation of n, and A000217(n) is the n-th triangular number, binomial(n+1, 2).

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

[1, 3, 1, 6, 1, 3, 1, 10, 1, 3, 1, 6, 1, 3, 1, 15, 1, 3, 1, 6, 1, 3, 1, 10, 1, 3, 1, 6, 1, 3, 1, 21, 1, 3, 1, 6, 1, 3, 1, 10, 1, 3, 1, 6, 1, 3, 1, 15, 1, 3, 1, 6, 1, 3, 1, 10, 1, 3, 1, 6, 1, 3, 1, 28, 1, 3, 1, 6, 1, 3, 1, 10, 1, 3, 1, 6, 1, 3, 1, 15, 1, 3, 1, 6, 1, 3, 1, 10, 1, 3, 1, 6, 1]

cp's OEIS Frontend

A115364 a(n) = A000217(A001511(n)), where A001511 is one more than the 2-adic valuation of n, and A000217(n) is the n-th triangular number, binomial(n+1, 2).

Table of values

List of values

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

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

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