A378359 - cp's OEIS frontend

A378359 a(1) = 0, a(n) = Sum_{digits d in a(n-1)} c(d,n-1), where c(d,k) is the number of digits d in a(1..k).

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

[0, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, 9, 1, 10, 13, 14, 15, 16, 17, 18, 19, 20, 5, 3, 3, 4, 3, 5, 4, 4, 5, 5, 6, 3, 6, 4, 6, 5, 7, 3, 7, 4, 7, 5, 8, 3, 8, 4, 8, 5, 9, 3, 9, 4, 9, 5, 10, 23, 13, 31, 33, 14, 32, 19, 29, 12, 30, 21, 32, 25, 20, 16, 32]

cp's OEIS Frontend

A378359 a(1) = 0, a(n) = Sum_{digits d in a(n-1)} c(d,n-1), where c(d,k) is the number of digits d in a(1..k).

Table of values

List of values

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

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

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