A365921 - cp's OEIS frontend

A365921 Triangle read by rows where T(n,k) is the number of integer partitions y of n such that k is the greatest member of {0..n} that is not the sum of any nonempty submultiset of y.

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	2
7	0
8	1
9	0
10	2
11	0
12	1
13	2
14	0
15	4
16	0
17	0
18	1
19	2
20	0
21	5
22	0
23	0
24	1
25	1
26	4
27	0
28	8
29	0
30	0
31	0
32	1
33	2
34	4
35	0
36	10
37	0
38	0
39	0
40	2
41	1
42	2
43	7
44	0
45	16
46	0
47	0
48	0
49	0
50	2
51	1
52	3
53	8
54	0
55	20
56	0
57	0
58	0
59	0
60	2
61	2
62	2
63	4
64	12
65	0
66	31
67	0
68	0
69	0
70	0
71	0
72	2
73	2
74	2
75	5
76	14
77	0

[1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 4, 0, 0, 1, 2, 0, 5, 0, 0, 1, 1, 4, 0, 8, 0, 0, 0, 1, 2, 4, 0, 10, 0, 0, 0, 2, 1, 2, 7, 0, 16, 0, 0, 0, 0, 2, 1, 3, 8, 0, 20, 0, 0, 0, 0, 2, 2, 2, 4, 12, 0, 31, 0, 0, 0, 0, 0, 2, 2, 2, 5, 14, 0]

cp's OEIS Frontend

A365921 Triangle read by rows where T(n,k) is the number of integer partitions y of n such that k is the greatest member of {0..n} that is not the sum of any nonempty submultiset of y.

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	2
7	0
8	1
9	0
10	2
11	0
12	1
13	2
14	0
15	4
16	0
17	0
18	1
19	2
20	0
21	5
22	0
23	0
24	1
25	1
26	4
27	0
28	8
29	0
30	0
31	0
32	1
33	2
34	4
35	0
36	10
37	0
38	0
39	0
40	2
41	1
42	2
43	7
44	0
45	16
46	0
47	0
48	0
49	0
50	2
51	1
52	3
53	8
54	0
55	20
56	0
57	0
58	0
59	0
60	2
61	2
62	2
63	4
64	12
65	0
66	31
67	0
68	0
69	0
70	0
71	0
72	2
73	2
74	2
75	5
76	14
77	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	2
7	0
8	1
9	0
10	2
11	0
12	1
13	2
14	0
15	4
16	0
17	0
18	1
19	2
20	0
21	5
22	0
23	0
24	1
25	1
26	4
27	0
28	8
29	0
30	0
31	0
32	1
33	2
34	4
35	0
36	10
37	0
38	0
39	0
40	2
41	1
42	2
43	7
44	0
45	16
46	0
47	0
48	0
49	0
50	2
51	1
52	3
53	8
54	0
55	20
56	0
57	0
58	0
59	0
60	2
61	2
62	2
63	4
64	12
65	0
66	31
67	0
68	0
69	0
70	0
71	0
72	2
73	2
74	2
75	5
76	14
77	0

n	a(n)
0	1
1	1
2	0
3	1
4	1
5	0
6	2
7	0
8	1
9	0
10	2
11	0
12	1
13	2
14	0
15	4
16	0
17	0
18	1
19	2
20	0
21	5
22	0
23	0
24	1
25	1
26	4
27	0
28	8
29	0
30	0
31	0
32	1
33	2
34	4
35	0
36	10
37	0
38	0
39	0
40	2
41	1
42	2
43	7
44	0
45	16
46	0
47	0
48	0
49	0
50	2
51	1
52	3
53	8
54	0
55	20
56	0
57	0
58	0
59	0
60	2
61	2
62	2
63	4
64	12
65	0
66	31
67	0
68	0
69	0
70	0
71	0
72	2
73	2
74	2
75	5
76	14
77	0