A176572 - cp's OEIS frontend

A176572 Count the ones in the binary representation of the partitions of n; then add vertically yielding a triangular array T(n,k).

n	a(n)
1	1
2	2
3	1
4	3
5	1
6	2
7	5
8	1
9	3
10	3
11	7
12	1
13	3
14	4
15	5
16	11
17	1
18	4
19	5
20	7
21	7
22	15
23	1
24	4
25	6
26	8
27	9
28	11
29	22
30	1
31	5
32	7
33	11
34	10
35	15
36	15
37	30
38	1
39	5
40	9
41	12
42	13
43	17
44	19
45	22
46	42
47	1
48	6
49	10
50	16
51	15
52	22
53	21
54	29
55	30
56	56
57	1
58	6
59	12
60	18
61	19
62	25
63	26
64	32
65	38
66	42
67	77
68	1
69	7
70	14
71	23
72	22
73	33
74	29
75	41
76	42
77	54
78	56
79	101
80	1
81	7
82	16
83	26
84	28
85	37
86	37
87	45
88	52
89	59
90	70
91	77
92	135
93	1
94	8
95	18
96	32
97	33
98	47
99	42
100	58
101	57
102	74
103	76
104	98
105	101

[1, 2, 1, 3, 1, 2, 5, 1, 3, 3, 7, 1, 3, 4, 5, 11, 1, 4, 5, 7, 7, 15, 1, 4, 6, 8, 9, 11, 22, 1, 5, 7, 11, 10, 15, 15, 30, 1, 5, 9, 12, 13, 17, 19, 22, 42, 1, 6, 10, 16, 15, 22, 21, 29, 30, 56, 1, 6, 12, 18, 19, 25, 26, 32, 38, 42, 77, 1, 7, 14, 23, 22, 33, 29, 41, 42, 54, 56, 101, 1, 7, 16, 26, 28, 37, 37, 45, 52, 59, 70, 77, 135, 1, 8, 18, 32, 33, 47, 42, 58, 57, 74, 76, 98, 101]

cp's OEIS Frontend

A176572 Count the ones in the binary representation of the partitions of n; then add vertically yielding a triangular array T(n,k).

Table of values

List of values

n	a(n)
1	1
2	2
3	1
4	3
5	1
6	2
7	5
8	1
9	3
10	3
11	7
12	1
13	3
14	4
15	5
16	11
17	1
18	4
19	5
20	7
21	7
22	15
23	1
24	4
25	6
26	8
27	9
28	11
29	22
30	1
31	5
32	7
33	11
34	10
35	15
36	15
37	30
38	1
39	5
40	9
41	12
42	13
43	17
44	19
45	22
46	42
47	1
48	6
49	10
50	16
51	15
52	22
53	21
54	29
55	30
56	56
57	1
58	6
59	12
60	18
61	19
62	25
63	26
64	32
65	38
66	42
67	77
68	1
69	7
70	14
71	23
72	22
73	33
74	29
75	41
76	42
77	54
78	56
79	101
80	1
81	7
82	16
83	26
84	28
85	37
86	37
87	45
88	52
89	59
90	70
91	77
92	135
93	1
94	8
95	18
96	32
97	33
98	47
99	42
100	58
101	57
102	74
103	76
104	98
105	101

n	a(n)
1	1
2	2
3	1
4	3
5	1
6	2
7	5
8	1
9	3
10	3
11	7
12	1
13	3
14	4
15	5
16	11
17	1
18	4
19	5
20	7
21	7
22	15
23	1
24	4
25	6
26	8
27	9
28	11
29	22
30	1
31	5
32	7
33	11
34	10
35	15
36	15
37	30
38	1
39	5
40	9
41	12
42	13
43	17
44	19
45	22
46	42
47	1
48	6
49	10
50	16
51	15
52	22
53	21
54	29
55	30
56	56
57	1
58	6
59	12
60	18
61	19
62	25
63	26
64	32
65	38
66	42
67	77
68	1
69	7
70	14
71	23
72	22
73	33
74	29
75	41
76	42
77	54
78	56
79	101
80	1
81	7
82	16
83	26
84	28
85	37
86	37
87	45
88	52
89	59
90	70
91	77
92	135
93	1
94	8
95	18
96	32
97	33
98	47
99	42
100	58
101	57
102	74
103	76
104	98
105	101

n	a(n)
1	1
2	2
3	1
4	3
5	1
6	2
7	5
8	1
9	3
10	3
11	7
12	1
13	3
14	4
15	5
16	11
17	1
18	4
19	5
20	7
21	7
22	15
23	1
24	4
25	6
26	8
27	9
28	11
29	22
30	1
31	5
32	7
33	11
34	10
35	15
36	15
37	30
38	1
39	5
40	9
41	12
42	13
43	17
44	19
45	22
46	42
47	1
48	6
49	10
50	16
51	15
52	22
53	21
54	29
55	30
56	56
57	1
58	6
59	12
60	18
61	19
62	25
63	26
64	32
65	38
66	42
67	77
68	1
69	7
70	14
71	23
72	22
73	33
74	29
75	41
76	42
77	54
78	56
79	101
80	1
81	7
82	16
83	26
84	28
85	37
86	37
87	45
88	52
89	59
90	70
91	77
92	135
93	1
94	8
95	18
96	32
97	33
98	47
99	42
100	58
101	57
102	74
103	76
104	98
105	101