A212652 - cp's OEIS frontend

A212652 a(n) is the least positive integer M such that n = T(M) - T(k), for k an integer, 0 <= k <= M, where T(r) = A000217(r) is the r-th triangular number.

n	a(n)
1	1
2	2
3	2
4	4
5	3
6	3
7	4
8	8
9	4
10	4
11	6
12	5
13	7
14	5
15	5
16	16
17	9
18	6
19	10
20	6
21	6
22	7
23	12
24	9
25	7
26	8
27	7
28	7
29	15
30	8
31	16
32	32
33	8
34	10
35	8
36	8
37	19
38	11
39	9
40	10
41	21
42	9
43	22
44	9
45	9
46	13
47	24
48	17
49	10
50	12
51	11
52	10
53	27
54	10
55	10
56	11
57	12
58	16
59	30
60	11
61	31
62	17
63	11
64	64
65	11
66	11
67	34

[1, 2, 2, 4, 3, 3, 4, 8, 4, 4, 6, 5, 7, 5, 5, 16, 9, 6, 10, 6, 6, 7, 12, 9, 7, 8, 7, 7, 15, 8, 16, 32, 8, 10, 8, 8, 19, 11, 9, 10, 21, 9, 22, 9, 9, 13, 24, 17, 10, 12, 11, 10, 27, 10, 10, 11, 12, 16, 30, 11, 31, 17, 11, 64, 11, 11, 34]

cp's OEIS Frontend

A212652 a(n) is the least positive integer M such that n = T(M) - T(k), for k an integer, 0 <= k <= M, where T(r) = A000217(r) is the r-th triangular number.

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	4
5	3
6	3
7	4
8	8
9	4
10	4
11	6
12	5
13	7
14	5
15	5
16	16
17	9
18	6
19	10
20	6
21	6
22	7
23	12
24	9
25	7
26	8
27	7
28	7
29	15
30	8
31	16
32	32
33	8
34	10
35	8
36	8
37	19
38	11
39	9
40	10
41	21
42	9
43	22
44	9
45	9
46	13
47	24
48	17
49	10
50	12
51	11
52	10
53	27
54	10
55	10
56	11
57	12
58	16
59	30
60	11
61	31
62	17
63	11
64	64
65	11
66	11
67	34

n	a(n)
1	1
2	2
3	2
4	4
5	3
6	3
7	4
8	8
9	4
10	4
11	6
12	5
13	7
14	5
15	5
16	16
17	9
18	6
19	10
20	6
21	6
22	7
23	12
24	9
25	7
26	8
27	7
28	7
29	15
30	8
31	16
32	32
33	8
34	10
35	8
36	8
37	19
38	11
39	9
40	10
41	21
42	9
43	22
44	9
45	9
46	13
47	24
48	17
49	10
50	12
51	11
52	10
53	27
54	10
55	10
56	11
57	12
58	16
59	30
60	11
61	31
62	17
63	11
64	64
65	11
66	11
67	34

n	a(n)
1	1
2	2
3	2
4	4
5	3
6	3
7	4
8	8
9	4
10	4
11	6
12	5
13	7
14	5
15	5
16	16
17	9
18	6
19	10
20	6
21	6
22	7
23	12
24	9
25	7
26	8
27	7
28	7
29	15
30	8
31	16
32	32
33	8
34	10
35	8
36	8
37	19
38	11
39	9
40	10
41	21
42	9
43	22
44	9
45	9
46	13
47	24
48	17
49	10
50	12
51	11
52	10
53	27
54	10
55	10
56	11
57	12
58	16
59	30
60	11
61	31
62	17
63	11
64	64
65	11
66	11
67	34