A353396 - cp's OEIS frontend

A353396 Number of integer partitions of n whose Heinz number has prime shadow equal to the product of prime shadows of its parts.

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	2
6	0
7	3
8	1
9	3
10	4
11	3
12	7
13	5
14	9
15	8
16	12
17	15
18	15
19	20
20	21
21	25
22	31
23	33
24	38
25	42
26	46
27	56
28	61
29	67
30	78
31	76
32	96
33	100
34	114
35	131
36	130
37	157
38	157
39	185
40	200
41	214
42	236
43	253
44	275
45	302
46	333
47	351
48	386
49	408
50	440
51	486
52	515
53	564
54	596
55	633
56	691
57	734
58	800
59	854
60	899
61	964

[1, 0, 1, 1, 0, 2, 0, 3, 1, 3, 4, 3, 7, 5, 9, 8, 12, 15, 15, 20, 21, 25, 31, 33, 38, 42, 46, 56, 61, 67, 78, 76, 96, 100, 114, 131, 130, 157, 157, 185, 200, 214, 236, 253, 275, 302, 333, 351, 386, 408, 440, 486, 515, 564, 596, 633, 691, 734, 800, 854, 899, 964]

cp's OEIS Frontend

A353396 Number of integer partitions of n whose Heinz number has prime shadow equal to the product of prime shadows of its parts.

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	2
6	0
7	3
8	1
9	3
10	4
11	3
12	7
13	5
14	9
15	8
16	12
17	15
18	15
19	20
20	21
21	25
22	31
23	33
24	38
25	42
26	46
27	56
28	61
29	67
30	78
31	76
32	96
33	100
34	114
35	131
36	130
37	157
38	157
39	185
40	200
41	214
42	236
43	253
44	275
45	302
46	333
47	351
48	386
49	408
50	440
51	486
52	515
53	564
54	596
55	633
56	691
57	734
58	800
59	854
60	899
61	964

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	2
6	0
7	3
8	1
9	3
10	4
11	3
12	7
13	5
14	9
15	8
16	12
17	15
18	15
19	20
20	21
21	25
22	31
23	33
24	38
25	42
26	46
27	56
28	61
29	67
30	78
31	76
32	96
33	100
34	114
35	131
36	130
37	157
38	157
39	185
40	200
41	214
42	236
43	253
44	275
45	302
46	333
47	351
48	386
49	408
50	440
51	486
52	515
53	564
54	596
55	633
56	691
57	734
58	800
59	854
60	899
61	964

n	a(n)
0	1
1	0
2	1
3	1
4	0
5	2
6	0
7	3
8	1
9	3
10	4
11	3
12	7
13	5
14	9
15	8
16	12
17	15
18	15
19	20
20	21
21	25
22	31
23	33
24	38
25	42
26	46
27	56
28	61
29	67
30	78
31	76
32	96
33	100
34	114
35	131
36	130
37	157
38	157
39	185
40	200
41	214
42	236
43	253
44	275
45	302
46	333
47	351
48	386
49	408
50	440
51	486
52	515
53	564
54	596
55	633
56	691
57	734
58	800
59	854
60	899
61	964