A026820 - cp's OEIS frontend

A026820 Euler's table: triangular array T read by rows, where T(n,k) = number of partitions in which every part is <= k for 1 <= k <= n. Also number of partitions of n into at most k parts.

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

[1, 1, 2, 1, 2, 3, 1, 3, 4, 5, 1, 3, 5, 6, 7, 1, 4, 7, 9, 10, 11, 1, 4, 8, 11, 13, 14, 15, 1, 5, 10, 15, 18, 20, 21, 22, 1, 5, 12, 18, 23, 26, 28, 29, 30, 1, 6, 14, 23, 30, 35, 38, 40, 41, 42, 1, 6, 16, 27, 37, 44, 49, 52, 54, 55, 56, 1, 7, 19, 34, 47, 58, 65, 70, 73, 75, 76, 77]

cp's OEIS Frontend

A026820 Euler's table: triangular array T read by rows, where T(n,k) = number of partitions in which every part is <= k for 1 <= k <= n. Also number of partitions of n into at most k parts.

Table of values

List of values

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

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

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