A316401 - cp's OEIS frontend

A316401 Number of strict integer partitions of n that are not knapsack (not every subset has a different sum) but every subset has a different average.

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	1
9	0
10	2
11	0
12	1
13	0
14	3
15	1
16	3
17	2
18	4
19	2
20	6
21	6
22	11
23	9
24	9
25	10
26	20
27	16
28	18
29	17
30	27
31	24
32	31
33	29
34	43
35	31
36	43
37	40
38	59
39	52
40	58
41	61
42	83
43	68
44	93
45	80
46	124
47	99
48	120
49	109
50	145
51	151
52	185
53	160
54	232
55	163
56	257
57	229
58	314
59	280
60	286
61	310
62	427
63	385
64	513
65	333
66	596

[0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 3, 1, 3, 2, 4, 2, 6, 6, 11, 9, 9, 10, 20, 16, 18, 17, 27, 24, 31, 29, 43, 31, 43, 40, 59, 52, 58, 61, 83, 68, 93, 80, 124, 99, 120, 109, 145, 151, 185, 160, 232, 163, 257, 229, 314, 280, 286, 310, 427, 385, 513, 333, 596]

cp's OEIS Frontend

A316401 Number of strict integer partitions of n that are not knapsack (not every subset has a different sum) but every subset has a different average.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	1
9	0
10	2
11	0
12	1
13	0
14	3
15	1
16	3
17	2
18	4
19	2
20	6
21	6
22	11
23	9
24	9
25	10
26	20
27	16
28	18
29	17
30	27
31	24
32	31
33	29
34	43
35	31
36	43
37	40
38	59
39	52
40	58
41	61
42	83
43	68
44	93
45	80
46	124
47	99
48	120
49	109
50	145
51	151
52	185
53	160
54	232
55	163
56	257
57	229
58	314
59	280
60	286
61	310
62	427
63	385
64	513
65	333
66	596

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	1
9	0
10	2
11	0
12	1
13	0
14	3
15	1
16	3
17	2
18	4
19	2
20	6
21	6
22	11
23	9
24	9
25	10
26	20
27	16
28	18
29	17
30	27
31	24
32	31
33	29
34	43
35	31
36	43
37	40
38	59
39	52
40	58
41	61
42	83
43	68
44	93
45	80
46	124
47	99
48	120
49	109
50	145
51	151
52	185
53	160
54	232
55	163
56	257
57	229
58	314
59	280
60	286
61	310
62	427
63	385
64	513
65	333
66	596

n	a(n)
1	0
2	0
3	0
4	0
5	0
6	0
7	0
8	1
9	0
10	2
11	0
12	1
13	0
14	3
15	1
16	3
17	2
18	4
19	2
20	6
21	6
22	11
23	9
24	9
25	10
26	20
27	16
28	18
29	17
30	27
31	24
32	31
33	29
34	43
35	31
36	43
37	40
38	59
39	52
40	58
41	61
42	83
43	68
44	93
45	80
46	124
47	99
48	120
49	109
50	145
51	151
52	185
53	160
54	232
55	163
56	257
57	229
58	314
59	280
60	286
61	310
62	427
63	385
64	513
65	333
66	596