A254296 - cp's OEIS frontend

A254296 The number of partitions of n having the minimum number of summands such that all integers from 1 to n can be represented as the sum of the summands times one of {-1, 0, 1}.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	3
8	2
9	2
10	2
11	1
12	1
13	1
14	10
15	11
16	12
17	11
18	12
19	12
20	11
21	11
22	12
23	9
24	9
25	9
26	7
27	7
28	7
29	5
30	5
31	5
32	3
33	3
34	3
35	2
36	2
37	2
38	1
39	1
40	1
41	131
42	136
43	140
44	133
45	137
46	140
47	133
48	136
49	138
50	129
51	131
52	134
53	125
54	126
55	128
56	117
57	119
58	120
59	109
60	110
61	111
62	101
63	102
64	102
65	92
66	92
67	93
68	81
69	81
70	81
71	72
72	72
73	72
74	63
75	63
76	63
77	54
78	54
79	54
80	47
81	47
82	47
83	40
84	40
85	40
86	33
87	33
88	33

[1, 1, 1, 1, 2, 2, 3, 2, 2, 2, 1, 1, 1, 10, 11, 12, 11, 12, 12, 11, 11, 12, 9, 9, 9, 7, 7, 7, 5, 5, 5, 3, 3, 3, 2, 2, 2, 1, 1, 1, 131, 136, 140, 133, 137, 140, 133, 136, 138, 129, 131, 134, 125, 126, 128, 117, 119, 120, 109, 110, 111, 101, 102, 102, 92, 92, 93, 81, 81, 81, 72, 72, 72, 63, 63, 63, 54, 54, 54, 47, 47, 47, 40, 40, 40, 33, 33, 33]

cp's OEIS Frontend

A254296 The number of partitions of n having the minimum number of summands such that all integers from 1 to n can be represented as the sum of the summands times one of {-1, 0, 1}.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	3
8	2
9	2
10	2
11	1
12	1
13	1
14	10
15	11
16	12
17	11
18	12
19	12
20	11
21	11
22	12
23	9
24	9
25	9
26	7
27	7
28	7
29	5
30	5
31	5
32	3
33	3
34	3
35	2
36	2
37	2
38	1
39	1
40	1
41	131
42	136
43	140
44	133
45	137
46	140
47	133
48	136
49	138
50	129
51	131
52	134
53	125
54	126
55	128
56	117
57	119
58	120
59	109
60	110
61	111
62	101
63	102
64	102
65	92
66	92
67	93
68	81
69	81
70	81
71	72
72	72
73	72
74	63
75	63
76	63
77	54
78	54
79	54
80	47
81	47
82	47
83	40
84	40
85	40
86	33
87	33
88	33

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	3
8	2
9	2
10	2
11	1
12	1
13	1
14	10
15	11
16	12
17	11
18	12
19	12
20	11
21	11
22	12
23	9
24	9
25	9
26	7
27	7
28	7
29	5
30	5
31	5
32	3
33	3
34	3
35	2
36	2
37	2
38	1
39	1
40	1
41	131
42	136
43	140
44	133
45	137
46	140
47	133
48	136
49	138
50	129
51	131
52	134
53	125
54	126
55	128
56	117
57	119
58	120
59	109
60	110
61	111
62	101
63	102
64	102
65	92
66	92
67	93
68	81
69	81
70	81
71	72
72	72
73	72
74	63
75	63
76	63
77	54
78	54
79	54
80	47
81	47
82	47
83	40
84	40
85	40
86	33
87	33
88	33

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	2
7	3
8	2
9	2
10	2
11	1
12	1
13	1
14	10
15	11
16	12
17	11
18	12
19	12
20	11
21	11
22	12
23	9
24	9
25	9
26	7
27	7
28	7
29	5
30	5
31	5
32	3
33	3
34	3
35	2
36	2
37	2
38	1
39	1
40	1
41	131
42	136
43	140
44	133
45	137
46	140
47	133
48	136
49	138
50	129
51	131
52	134
53	125
54	126
55	128
56	117
57	119
58	120
59	109
60	110
61	111
62	101
63	102
64	102
65	92
66	92
67	93
68	81
69	81
70	81
71	72
72	72
73	72
74	63
75	63
76	63
77	54
78	54
79	54
80	47
81	47
82	47
83	40
84	40
85	40
86	33
87	33
88	33