A322912 - cp's OEIS frontend

A322912 Number of integer partitions of n whose parts are all powers of the same squarefree number.

n	a(n)
0	1
1	1
2	2
3	3
4	5
5	6
6	10
7	11
8	15
9	17
10	23
11	24
12	33
13	34
14	42
15	46
16	56
17	57
18	71
19	72
20	88
21	93
22	109
23	110
24	134
25	136
26	158
27	163
28	191
29	192
30	229
31	230
32	266
33	273
34	311
35	315
36	370
37	371
38	419
39	428
40	491
41	492
42	565
43	566
44	642
45	654
46	730
47	731
48	836
49	838
50	936

[1, 1, 2, 3, 5, 6, 10, 11, 15, 17, 23, 24, 33, 34, 42, 46, 56, 57, 71, 72, 88, 93, 109, 110, 134, 136, 158, 163, 191, 192, 229, 230, 266, 273, 311, 315, 370, 371, 419, 428, 491, 492, 565, 566, 642, 654, 730, 731, 836, 838, 936]

cp's OEIS Frontend

A322912 Number of integer partitions of n whose parts are all powers of the same squarefree number.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	3
4	5
5	6
6	10
7	11
8	15
9	17
10	23
11	24
12	33
13	34
14	42
15	46
16	56
17	57
18	71
19	72
20	88
21	93
22	109
23	110
24	134
25	136
26	158
27	163
28	191
29	192
30	229
31	230
32	266
33	273
34	311
35	315
36	370
37	371
38	419
39	428
40	491
41	492
42	565
43	566
44	642
45	654
46	730
47	731
48	836
49	838
50	936

n	a(n)
0	1
1	1
2	2
3	3
4	5
5	6
6	10
7	11
8	15
9	17
10	23
11	24
12	33
13	34
14	42
15	46
16	56
17	57
18	71
19	72
20	88
21	93
22	109
23	110
24	134
25	136
26	158
27	163
28	191
29	192
30	229
31	230
32	266
33	273
34	311
35	315
36	370
37	371
38	419
39	428
40	491
41	492
42	565
43	566
44	642
45	654
46	730
47	731
48	836
49	838
50	936

n	a(n)
0	1
1	1
2	2
3	3
4	5
5	6
6	10
7	11
8	15
9	17
10	23
11	24
12	33
13	34
14	42
15	46
16	56
17	57
18	71
19	72
20	88
21	93
22	109
23	110
24	134
25	136
26	158
27	163
28	191
29	192
30	229
31	230
32	266
33	273
34	311
35	315
36	370
37	371
38	419
39	428
40	491
41	492
42	565
43	566
44	642
45	654
46	730
47	731
48	836
49	838
50	936