A353843 - cp's OEIS frontend

A353843 Irregular triangle read by rows where T(n,k) is the number of integer partitions of n with partition run-sum trajectory ending in a partition of length k. All zeros removed.

n	a(n)
0	1
1	1
2	2
3	2
4	1
5	4
6	1
7	2
8	5
9	5
10	5
11	1
12	2
13	12
14	1
15	8
16	11
17	3
18	3
19	19
20	8
21	5
22	27
23	9
24	1
25	2
26	34
27	19
28	1
29	15
30	26
31	34
32	2
33	2
34	49
35	45
36	5
37	5
38	68
39	48
40	14
41	4
42	58
43	98
44	15
45	1
46	18
47	76
48	105
49	31
50	1
51	2
52	88
53	159
54	46
55	2
56	13
57	98
58	191
59	79
60	4
61	2
62	114
63	261
64	105
65	8
66	14
67	148
68	282
69	164
70	19

[1, 1, 2, 2, 1, 4, 1, 2, 5, 5, 5, 1, 2, 12, 1, 8, 11, 3, 3, 19, 8, 5, 27, 9, 1, 2, 34, 19, 1, 15, 26, 34, 2, 2, 49, 45, 5, 5, 68, 48, 14, 4, 58, 98, 15, 1, 18, 76, 105, 31, 1, 2, 88, 159, 46, 2, 13, 98, 191, 79, 4, 2, 114, 261, 105, 8, 14, 148, 282, 164, 19]

cp's OEIS Frontend

A353843 Irregular triangle read by rows where T(n,k) is the number of integer partitions of n with partition run-sum trajectory ending in a partition of length k. All zeros removed.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	2
4	1
5	4
6	1
7	2
8	5
9	5
10	5
11	1
12	2
13	12
14	1
15	8
16	11
17	3
18	3
19	19
20	8
21	5
22	27
23	9
24	1
25	2
26	34
27	19
28	1
29	15
30	26
31	34
32	2
33	2
34	49
35	45
36	5
37	5
38	68
39	48
40	14
41	4
42	58
43	98
44	15
45	1
46	18
47	76
48	105
49	31
50	1
51	2
52	88
53	159
54	46
55	2
56	13
57	98
58	191
59	79
60	4
61	2
62	114
63	261
64	105
65	8
66	14
67	148
68	282
69	164
70	19

n	a(n)
0	1
1	1
2	2
3	2
4	1
5	4
6	1
7	2
8	5
9	5
10	5
11	1
12	2
13	12
14	1
15	8
16	11
17	3
18	3
19	19
20	8
21	5
22	27
23	9
24	1
25	2
26	34
27	19
28	1
29	15
30	26
31	34
32	2
33	2
34	49
35	45
36	5
37	5
38	68
39	48
40	14
41	4
42	58
43	98
44	15
45	1
46	18
47	76
48	105
49	31
50	1
51	2
52	88
53	159
54	46
55	2
56	13
57	98
58	191
59	79
60	4
61	2
62	114
63	261
64	105
65	8
66	14
67	148
68	282
69	164
70	19

n	a(n)
0	1
1	1
2	2
3	2
4	1
5	4
6	1
7	2
8	5
9	5
10	5
11	1
12	2
13	12
14	1
15	8
16	11
17	3
18	3
19	19
20	8
21	5
22	27
23	9
24	1
25	2
26	34
27	19
28	1
29	15
30	26
31	34
32	2
33	2
34	49
35	45
36	5
37	5
38	68
39	48
40	14
41	4
42	58
43	98
44	15
45	1
46	18
47	76
48	105
49	31
50	1
51	2
52	88
53	159
54	46
55	2
56	13
57	98
58	191
59	79
60	4
61	2
62	114
63	261
64	105
65	8
66	14
67	148
68	282
69	164
70	19