A284114 - cp's OEIS frontend

A284114 Number of partitions of n such that Omega(n) (= number of prime divisors of n counted with multiplicity) equals the sum of Omega of all parts; Omega = A001222.

n	a(n)
0	1
1	1
2	1
3	2
4	2
5	3
6	5
7	4
8	7
9	9
10	12
11	5
12	22
13	6
14	17
15	19
16	55
17	7
18	50
19	8
20	60
21	28
22	32
23	9
24	166
25	37
26	41
27	113
28	122
29	10
30	137
31	11
32	631
33	51
34	56
35	57
36	475
37	12
38	64
39	66
40	620
41	13
42	258
43	14
44	282
45	301
46	83
47	15
48	2229
49	90
50	359
51	95
52	394
53	16
54	1302
55	105
56	1435
57	109
58	114
59	17
60	1708
61	18
62	125

[1, 1, 1, 2, 2, 3, 5, 4, 7, 9, 12, 5, 22, 6, 17, 19, 55, 7, 50, 8, 60, 28, 32, 9, 166, 37, 41, 113, 122, 10, 137, 11, 631, 51, 56, 57, 475, 12, 64, 66, 620, 13, 258, 14, 282, 301, 83, 15, 2229, 90, 359, 95, 394, 16, 1302, 105, 1435, 109, 114, 17, 1708, 18, 125]

cp's OEIS Frontend

A284114 Number of partitions of n such that Omega(n) (= number of prime divisors of n counted with multiplicity) equals the sum of Omega of all parts; Omega = A001222.

Table of values

List of values