A217916 - cp's OEIS frontend

A217916 a(n) = prime(n) - Sum_{k=1..A002024(n)-1} a(n-k), where A002024(m) = [sqrt(2*m)+1/2] is "n appears n times".

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

[2, 1, 4, 2, 5, 6, 4, 4, 9, 12, 2, 10, 8, 11, 16, 6, 8, 12, 14, 15, 18, 6, 10, 14, 20, 18, 17, 22, 2, 10, 24, 18, 26, 20, 27, 24, 6, 8, 14, 30, 24, 28, 30, 29, 28, 2, 18, 20, 18, 32, 28, 34, 32, 39, 34, 6, 8, 20, 26, 22, 34, 38, 48, 36, 41, 38, 14, 12, 18, 22, 30]

cp's OEIS Frontend

A217916 a(n) = prime(n) - Sum_{k=1..A002024(n)-1} a(n-k), where A002024(m) = [sqrt(2*m)+1/2] is "n appears n times".

Table of values

List of values

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

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

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