A330661 - cp's OEIS frontend

A330661 T(n,k) is the index within the partitions of n in canonical ordering of the k-th partition whose parts differ pairwise by at most one.

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

[1, 1, 2, 1, 2, 3, 1, 3, 4, 5, 1, 3, 5, 6, 7, 1, 5, 8, 9, 10, 11, 1, 5, 9, 12, 13, 14, 15, 1, 8, 13, 18, 19, 20, 21, 22, 1, 8, 19, 22, 26, 27, 28, 29, 30, 1, 13, 22, 30, 37, 38, 39, 40, 41, 42, 1, 13, 30, 41, 46, 51, 52, 53, 54, 55, 56, 1, 20, 44, 59, 62, 71, 72, 73, 74, 75, 76, 77]

cp's OEIS Frontend

A330661 T(n,k) is the index within the partitions of n in canonical ordering of the k-th partition whose parts differ pairwise by at most one.

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