A239223 - cp's OEIS frontend

A239223 Number T(n,k) of partitions of n with standard deviation σ in the half-open interval [k,k+1); triangle T(n,k), n>=1, 0<=k<=max(0,floor(n/2)-1), read by rows.

n	a(n)
1	1
2	2
3	3
4	4
5	1
6	6
7	1
8	8
9	2
10	1
11	10
12	4
13	1
14	12
15	7
16	2
17	1
18	15
19	10
20	4
21	1
22	19
23	14
24	6
25	2
26	1
27	23
28	21
29	7
30	4
31	1
32	25
33	32
34	14
35	3
36	2
37	1
38	33
39	39
40	19
41	6
42	3
43	1
44	41
45	51
46	27
47	10
48	3
49	2
50	1
51	44
52	70
53	39
54	13
55	7
56	2
57	1
58	51
59	92
60	52
61	21
62	9
63	3
64	2
65	1
66	58
67	121
68	69
69	30
70	10
71	6
72	2
73	1
74	67
75	149

[1, 2, 3, 4, 1, 6, 1, 8, 2, 1, 10, 4, 1, 12, 7, 2, 1, 15, 10, 4, 1, 19, 14, 6, 2, 1, 23, 21, 7, 4, 1, 25, 32, 14, 3, 2, 1, 33, 39, 19, 6, 3, 1, 41, 51, 27, 10, 3, 2, 1, 44, 70, 39, 13, 7, 2, 1, 51, 92, 52, 21, 9, 3, 2, 1, 58, 121, 69, 30, 10, 6, 2, 1, 67, 149]

cp's OEIS Frontend

A239223 Number T(n,k) of partitions of n with standard deviation σ in the half-open interval [k,k+1); triangle T(n,k), n>=1, 0<=k<=max(0,floor(n/2)-1), read by rows.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	4
5	1
6	6
7	1
8	8
9	2
10	1
11	10
12	4
13	1
14	12
15	7
16	2
17	1
18	15
19	10
20	4
21	1
22	19
23	14
24	6
25	2
26	1
27	23
28	21
29	7
30	4
31	1
32	25
33	32
34	14
35	3
36	2
37	1
38	33
39	39
40	19
41	6
42	3
43	1
44	41
45	51
46	27
47	10
48	3
49	2
50	1
51	44
52	70
53	39
54	13
55	7
56	2
57	1
58	51
59	92
60	52
61	21
62	9
63	3
64	2
65	1
66	58
67	121
68	69
69	30
70	10
71	6
72	2
73	1
74	67
75	149

n	a(n)
1	1
2	2
3	3
4	4
5	1
6	6
7	1
8	8
9	2
10	1
11	10
12	4
13	1
14	12
15	7
16	2
17	1
18	15
19	10
20	4
21	1
22	19
23	14
24	6
25	2
26	1
27	23
28	21
29	7
30	4
31	1
32	25
33	32
34	14
35	3
36	2
37	1
38	33
39	39
40	19
41	6
42	3
43	1
44	41
45	51
46	27
47	10
48	3
49	2
50	1
51	44
52	70
53	39
54	13
55	7
56	2
57	1
58	51
59	92
60	52
61	21
62	9
63	3
64	2
65	1
66	58
67	121
68	69
69	30
70	10
71	6
72	2
73	1
74	67
75	149

n	a(n)
1	1
2	2
3	3
4	4
5	1
6	6
7	1
8	8
9	2
10	1
11	10
12	4
13	1
14	12
15	7
16	2
17	1
18	15
19	10
20	4
21	1
22	19
23	14
24	6
25	2
26	1
27	23
28	21
29	7
30	4
31	1
32	25
33	32
34	14
35	3
36	2
37	1
38	33
39	39
40	19
41	6
42	3
43	1
44	41
45	51
46	27
47	10
48	3
49	2
50	1
51	44
52	70
53	39
54	13
55	7
56	2
57	1
58	51
59	92
60	52
61	21
62	9
63	3
64	2
65	1
66	58
67	121
68	69
69	30
70	10
71	6
72	2
73	1
74	67
75	149