A360093 - cp's OEIS frontend

A360093 a(n) is the smallest positive integer which can be represented as the sum of distinct partition numbers in exactly n ways, or -1 if no such integer exists.

n	a(n)
1	1
2	3
3	8
4	15
5	18
6	23
7	30
8	33
9	38
10	43
11	45
12	48
13	56
14	58
15	63
16	71
17	74
18	-1
19	78
20	80
21	85
22	90
23	93
24	100
25	101
26	106
27	104
28	109
29	113
30	115
31	119
32	122
33	130
34	-1
35	134
36	135
37	145
38	141
39	150
40	153
41	146
42	149
43	163
44	156
45	158
46	165
47	167
48	173
49	-1
50	176
51	178
52	182
53	181
54	-1
55	183
56	186
57	196
58	193
59	191
60	199

[1, 3, 8, 15, 18, 23, 30, 33, 38, 43, 45, 48, 56, 58, 63, 71, 74, -1, 78, 80, 85, 90, 93, 100, 101, 106, 104, 109, 113, 115, 119, 122, 130, -1, 134, 135, 145, 141, 150, 153, 146, 149, 163, 156, 158, 165, 167, 173, -1, 176, 178, 182, 181, -1, 183, 186, 196, 193, 191, 199]

cp's OEIS Frontend

A360093 a(n) is the smallest positive integer which can be represented as the sum of distinct partition numbers in exactly n ways, or -1 if no such integer exists.

Table of values

List of values

n	a(n)
1	1
2	3
3	8
4	15
5	18
6	23
7	30
8	33
9	38
10	43
11	45
12	48
13	56
14	58
15	63
16	71
17	74
18	-1
19	78
20	80
21	85
22	90
23	93
24	100
25	101
26	106
27	104
28	109
29	113
30	115
31	119
32	122
33	130
34	-1
35	134
36	135
37	145
38	141
39	150
40	153
41	146
42	149
43	163
44	156
45	158
46	165
47	167
48	173
49	-1
50	176
51	178
52	182
53	181
54	-1
55	183
56	186
57	196
58	193
59	191
60	199

n	a(n)
1	1
2	3
3	8
4	15
5	18
6	23
7	30
8	33
9	38
10	43
11	45
12	48
13	56
14	58
15	63
16	71
17	74
18	-1
19	78
20	80
21	85
22	90
23	93
24	100
25	101
26	106
27	104
28	109
29	113
30	115
31	119
32	122
33	130
34	-1
35	134
36	135
37	145
38	141
39	150
40	153
41	146
42	149
43	163
44	156
45	158
46	165
47	167
48	173
49	-1
50	176
51	178
52	182
53	181
54	-1
55	183
56	186
57	196
58	193
59	191
60	199

n	a(n)
1	1
2	3
3	8
4	15
5	18
6	23
7	30
8	33
9	38
10	43
11	45
12	48
13	56
14	58
15	63
16	71
17	74
18	-1
19	78
20	80
21	85
22	90
23	93
24	100
25	101
26	106
27	104
28	109
29	113
30	115
31	119
32	122
33	130
34	-1
35	134
36	135
37	145
38	141
39	150
40	153
41	146
42	149
43	163
44	156
45	158
46	165
47	167
48	173
49	-1
50	176
51	178
52	182
53	181
54	-1
55	183
56	186
57	196
58	193
59	191
60	199