A309247 - cp's OEIS frontend

A309247 a(n) = Sum_{k=0..n} (p(n,k) mod 2), where p(n,k) = number of partitions of n into k parts.

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

[1, 1, 2, 3, 3, 3, 5, 5, 6, 6, 8, 8, 9, 7, 11, 12, 11, 11, 13, 12, 9, 14, 12, 13, 13, 12, 14, 16, 16, 19, 16, 18, 21, 19, 24, 23, 21, 17, 23, 23, 24, 23, 26, 25, 25, 24, 28, 20, 25, 25, 28, 29, 27, 27, 29, 28, 35, 28, 30, 30, 29, 31, 32, 33, 30, 32, 36, 35, 35, 35, 40, 35, 41, 41, 38, 42, 43]

cp's OEIS Frontend

A309247 a(n) = Sum_{k=0..n} (p(n,k) mod 2), where p(n,k) = number of partitions of n into k parts.

Table of values

List of values

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

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

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