A022559 - cp's OEIS frontend

A022559 Sum of exponents in prime-power factorization of n!.

n	a(n)
0	0
1	0
2	1
3	2
4	4
5	5
6	7
7	8
8	11
9	13
10	15
11	16
12	19
13	20
14	22
15	24
16	28
17	29
18	32
19	33
20	36
21	38
22	40
23	41
24	45
25	47
26	49
27	52
28	55
29	56
30	59
31	60
32	65
33	67
34	69
35	71
36	75
37	76
38	78
39	80
40	84
41	85
42	88
43	89
44	92
45	95
46	97
47	98
48	103
49	105
50	108
51	110
52	113
53	114
54	118
55	120
56	124
57	126
58	128
59	129
60	133
61	134
62	136
63	139

[0, 0, 1, 2, 4, 5, 7, 8, 11, 13, 15, 16, 19, 20, 22, 24, 28, 29, 32, 33, 36, 38, 40, 41, 45, 47, 49, 52, 55, 56, 59, 60, 65, 67, 69, 71, 75, 76, 78, 80, 84, 85, 88, 89, 92, 95, 97, 98, 103, 105, 108, 110, 113, 114, 118, 120, 124, 126, 128, 129, 133, 134, 136, 139]

cp's OEIS Frontend

A022559 Sum of exponents in prime-power factorization of n!.

Table of values

List of values

n	a(n)
0	0
1	0
2	1
3	2
4	4
5	5
6	7
7	8
8	11
9	13
10	15
11	16
12	19
13	20
14	22
15	24
16	28
17	29
18	32
19	33
20	36
21	38
22	40
23	41
24	45
25	47
26	49
27	52
28	55
29	56
30	59
31	60
32	65
33	67
34	69
35	71
36	75
37	76
38	78
39	80
40	84
41	85
42	88
43	89
44	92
45	95
46	97
47	98
48	103
49	105
50	108
51	110
52	113
53	114
54	118
55	120
56	124
57	126
58	128
59	129
60	133
61	134
62	136
63	139

n	a(n)
0	0
1	0
2	1
3	2
4	4
5	5
6	7
7	8
8	11
9	13
10	15
11	16
12	19
13	20
14	22
15	24
16	28
17	29
18	32
19	33
20	36
21	38
22	40
23	41
24	45
25	47
26	49
27	52
28	55
29	56
30	59
31	60
32	65
33	67
34	69
35	71
36	75
37	76
38	78
39	80
40	84
41	85
42	88
43	89
44	92
45	95
46	97
47	98
48	103
49	105
50	108
51	110
52	113
53	114
54	118
55	120
56	124
57	126
58	128
59	129
60	133
61	134
62	136
63	139

n	a(n)
0	0
1	0
2	1
3	2
4	4
5	5
6	7
7	8
8	11
9	13
10	15
11	16
12	19
13	20
14	22
15	24
16	28
17	29
18	32
19	33
20	36
21	38
22	40
23	41
24	45
25	47
26	49
27	52
28	55
29	56
30	59
31	60
32	65
33	67
34	69
35	71
36	75
37	76
38	78
39	80
40	84
41	85
42	88
43	89
44	92
45	95
46	97
47	98
48	103
49	105
50	108
51	110
52	113
53	114
54	118
55	120
56	124
57	126
58	128
59	129
60	133
61	134
62	136
63	139