A378175 - cp's OEIS frontend

A378175 Triangle T(n,k) read by rows in which n-th row lists in increasing order all multiplicative partitions mu of n (with factors > 1) encoded as Product_{j in mu} prime(j); n>=1, 1<=k<=A001055(n).

n	a(n)
1	1
2	3
3	5
4	7
5	9
6	11
7	13
8	15
9	17
10	19
11	21
12	27
13	23
14	25
15	29
16	33
17	31
18	35
19	37
20	39
21	45
22	41
23	43
24	51
25	47
26	55
27	49
28	53
29	57
30	63
31	81
32	59
33	61
34	65
35	69
36	75
37	67
38	71
39	77
40	87
41	99
42	73
43	85
44	79
45	93
46	83
47	89
48	91
49	95
50	105
51	111
52	117
53	135
54	97
55	121
56	101
57	123
58	103
59	115
60	125
61	107
62	119
63	129
64	153

[1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 27, 23, 25, 29, 33, 31, 35, 37, 39, 45, 41, 43, 51, 47, 55, 49, 53, 57, 63, 81, 59, 61, 65, 69, 75, 67, 71, 77, 87, 99, 73, 85, 79, 93, 83, 89, 91, 95, 105, 111, 117, 135, 97, 121, 101, 123, 103, 115, 125, 107, 119, 129, 153]

cp's OEIS Frontend

A378175 Triangle T(n,k) read by rows in which n-th row lists in increasing order all multiplicative partitions mu of n (with factors > 1) encoded as Product_{j in mu} prime(j); n>=1, 1<=k<=A001055(n).

Table of values

List of values

n	a(n)
1	1
2	3
3	5
4	7
5	9
6	11
7	13
8	15
9	17
10	19
11	21
12	27
13	23
14	25
15	29
16	33
17	31
18	35
19	37
20	39
21	45
22	41
23	43
24	51
25	47
26	55
27	49
28	53
29	57
30	63
31	81
32	59
33	61
34	65
35	69
36	75
37	67
38	71
39	77
40	87
41	99
42	73
43	85
44	79
45	93
46	83
47	89
48	91
49	95
50	105
51	111
52	117
53	135
54	97
55	121
56	101
57	123
58	103
59	115
60	125
61	107
62	119
63	129
64	153

n	a(n)
1	1
2	3
3	5
4	7
5	9
6	11
7	13
8	15
9	17
10	19
11	21
12	27
13	23
14	25
15	29
16	33
17	31
18	35
19	37
20	39
21	45
22	41
23	43
24	51
25	47
26	55
27	49
28	53
29	57
30	63
31	81
32	59
33	61
34	65
35	69
36	75
37	67
38	71
39	77
40	87
41	99
42	73
43	85
44	79
45	93
46	83
47	89
48	91
49	95
50	105
51	111
52	117
53	135
54	97
55	121
56	101
57	123
58	103
59	115
60	125
61	107
62	119
63	129
64	153

n	a(n)
1	1
2	3
3	5
4	7
5	9
6	11
7	13
8	15
9	17
10	19
11	21
12	27
13	23
14	25
15	29
16	33
17	31
18	35
19	37
20	39
21	45
22	41
23	43
24	51
25	47
26	55
27	49
28	53
29	57
30	63
31	81
32	59
33	61
34	65
35	69
36	75
37	67
38	71
39	77
40	87
41	99
42	73
43	85
44	79
45	93
46	83
47	89
48	91
49	95
50	105
51	111
52	117
53	135
54	97
55	121
56	101
57	123
58	103
59	115
60	125
61	107
62	119
63	129
64	153