A353865 - cp's OEIS frontend

A353865 Number of complete rucksack partitions of n. Partitions whose weak run-sums are distinct and cover an initial interval of nonnegative integers.

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	2
7	2
8	2
9	3
10	2
11	2
12	2
13	3
14	2
15	5
16	2
17	3
18	4
19	3
20	2
21	4
22	3
23	3
24	4
25	4
26	3
27	4
28	3
29	4
30	5
31	5
32	4
33	6
34	4
35	6
36	5
37	4
38	5
39	6
40	5
41	6
42	7
43	6
44	5
45	9
46	6
47	6
48	7
49	6
50	8
51	9
52	6
53	6
54	8
55	9
56	7
57	9
58	9
59	7
60	10
61	9
62	8
63	13
64	7
65	10
66	11
67	8
68	9
69	10
70	11
71	12
72	9
73	11
74	9
75	15
76	12
77	12
78	19
79	13
80	16
81	16

[1, 1, 1, 2, 1, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 5, 2, 3, 4, 3, 2, 4, 3, 3, 4, 4, 3, 4, 3, 4, 5, 5, 4, 6, 4, 6, 5, 4, 5, 6, 5, 6, 7, 6, 5, 9, 6, 6, 7, 6, 8, 9, 6, 6, 8, 9, 7, 9, 9, 7, 10, 9, 8, 13, 7, 10, 11, 8, 9, 10, 11, 12, 9, 11, 9, 15, 12, 12, 19, 13, 16, 16]

cp's OEIS Frontend

A353865 Number of complete rucksack partitions of n. Partitions whose weak run-sums are distinct and cover an initial interval of nonnegative integers.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	2
7	2
8	2
9	3
10	2
11	2
12	2
13	3
14	2
15	5
16	2
17	3
18	4
19	3
20	2
21	4
22	3
23	3
24	4
25	4
26	3
27	4
28	3
29	4
30	5
31	5
32	4
33	6
34	4
35	6
36	5
37	4
38	5
39	6
40	5
41	6
42	7
43	6
44	5
45	9
46	6
47	6
48	7
49	6
50	8
51	9
52	6
53	6
54	8
55	9
56	7
57	9
58	9
59	7
60	10
61	9
62	8
63	13
64	7
65	10
66	11
67	8
68	9
69	10
70	11
71	12
72	9
73	11
74	9
75	15
76	12
77	12
78	19
79	13
80	16
81	16

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	2
7	2
8	2
9	3
10	2
11	2
12	2
13	3
14	2
15	5
16	2
17	3
18	4
19	3
20	2
21	4
22	3
23	3
24	4
25	4
26	3
27	4
28	3
29	4
30	5
31	5
32	4
33	6
34	4
35	6
36	5
37	4
38	5
39	6
40	5
41	6
42	7
43	6
44	5
45	9
46	6
47	6
48	7
49	6
50	8
51	9
52	6
53	6
54	8
55	9
56	7
57	9
58	9
59	7
60	10
61	9
62	8
63	13
64	7
65	10
66	11
67	8
68	9
69	10
70	11
71	12
72	9
73	11
74	9
75	15
76	12
77	12
78	19
79	13
80	16
81	16

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	2
6	2
7	2
8	2
9	3
10	2
11	2
12	2
13	3
14	2
15	5
16	2
17	3
18	4
19	3
20	2
21	4
22	3
23	3
24	4
25	4
26	3
27	4
28	3
29	4
30	5
31	5
32	4
33	6
34	4
35	6
36	5
37	4
38	5
39	6
40	5
41	6
42	7
43	6
44	5
45	9
46	6
47	6
48	7
49	6
50	8
51	9
52	6
53	6
54	8
55	9
56	7
57	9
58	9
59	7
60	10
61	9
62	8
63	13
64	7
65	10
66	11
67	8
68	9
69	10
70	11
71	12
72	9
73	11
74	9
75	15
76	12
77	12
78	19
79	13
80	16
81	16