A328309 - cp's OEIS frontend

A328309 a(n) counts the numbers in 0..n whose k-th arithmetic derivative is zero for some k >= 0.

n	a(n)
0	1
1	2
2	3
3	4
4	4
5	5
6	6
7	7
8	7
9	8
10	9
11	10
12	10
13	11
14	12
15	12
16	12
17	13
18	14
19	15
20	15
21	16
22	17
23	18
24	18
25	19
26	19
27	19
28	19
29	20
30	21
31	22
32	22
33	23
34	24
35	24
36	24
37	25
38	26
39	26
40	26
41	27
42	28
43	29
44	29
45	29
46	30
47	31
48	31
49	32
50	32
51	32
52	32
53	33
54	33
55	33
56	33
57	34
58	35
59	36
60	36
61	37
62	38
63	38
64	38
65	39
66	40
67	41
68	41
69	41
70	42
71	43
72	43
73	44
74	44
75	44
76	44
77	45
78	46
79	47
80	47
81	47
82	48

[1, 2, 3, 4, 4, 5, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 12, 13, 14, 15, 15, 16, 17, 18, 18, 19, 19, 19, 19, 20, 21, 22, 22, 23, 24, 24, 24, 25, 26, 26, 26, 27, 28, 29, 29, 29, 30, 31, 31, 32, 32, 32, 32, 33, 33, 33, 33, 34, 35, 36, 36, 37, 38, 38, 38, 39, 40, 41, 41, 41, 42, 43, 43, 44, 44, 44, 44, 45, 46, 47, 47, 47, 48]

cp's OEIS Frontend

A328309 a(n) counts the numbers in 0..n whose k-th arithmetic derivative is zero for some k >= 0.

Table of values

List of values

n	a(n)
0	1
1	2
2	3
3	4
4	4
5	5
6	6
7	7
8	7
9	8
10	9
11	10
12	10
13	11
14	12
15	12
16	12
17	13
18	14
19	15
20	15
21	16
22	17
23	18
24	18
25	19
26	19
27	19
28	19
29	20
30	21
31	22
32	22
33	23
34	24
35	24
36	24
37	25
38	26
39	26
40	26
41	27
42	28
43	29
44	29
45	29
46	30
47	31
48	31
49	32
50	32
51	32
52	32
53	33
54	33
55	33
56	33
57	34
58	35
59	36
60	36
61	37
62	38
63	38
64	38
65	39
66	40
67	41
68	41
69	41
70	42
71	43
72	43
73	44
74	44
75	44
76	44
77	45
78	46
79	47
80	47
81	47
82	48

n	a(n)
0	1
1	2
2	3
3	4
4	4
5	5
6	6
7	7
8	7
9	8
10	9
11	10
12	10
13	11
14	12
15	12
16	12
17	13
18	14
19	15
20	15
21	16
22	17
23	18
24	18
25	19
26	19
27	19
28	19
29	20
30	21
31	22
32	22
33	23
34	24
35	24
36	24
37	25
38	26
39	26
40	26
41	27
42	28
43	29
44	29
45	29
46	30
47	31
48	31
49	32
50	32
51	32
52	32
53	33
54	33
55	33
56	33
57	34
58	35
59	36
60	36
61	37
62	38
63	38
64	38
65	39
66	40
67	41
68	41
69	41
70	42
71	43
72	43
73	44
74	44
75	44
76	44
77	45
78	46
79	47
80	47
81	47
82	48

n	a(n)
0	1
1	2
2	3
3	4
4	4
5	5
6	6
7	7
8	7
9	8
10	9
11	10
12	10
13	11
14	12
15	12
16	12
17	13
18	14
19	15
20	15
21	16
22	17
23	18
24	18
25	19
26	19
27	19
28	19
29	20
30	21
31	22
32	22
33	23
34	24
35	24
36	24
37	25
38	26
39	26
40	26
41	27
42	28
43	29
44	29
45	29
46	30
47	31
48	31
49	32
50	32
51	32
52	32
53	33
54	33
55	33
56	33
57	34
58	35
59	36
60	36
61	37
62	38
63	38
64	38
65	39
66	40
67	41
68	41
69	41
70	42
71	43
72	43
73	44
74	44
75	44
76	44
77	45
78	46
79	47
80	47
81	47
82	48