A249069 - cp's OEIS frontend

A249069 a(n+1) gives the number of occurrences of the first digit of a(n) in factorial base (i.e., A099563(a(n))) so far amongst the factorial base representations of all the terms up to and including a(n), with a(0)=0.

n	a(n)
0	0
1	1
2	1
3	2
4	3
5	5
6	1
7	7
8	9
9	12
10	2
11	13
12	3
13	16
14	5
15	6
16	18
17	1
18	19
19	2
20	21
21	3
22	25
23	27
24	30
25	32
26	35
27	38
28	40
29	41
30	43
31	45
32	48
33	13
34	14
35	15
36	16
37	18
38	6
39	53
40	20
41	7
42	57
43	21
44	8
45	64
46	24
47	65
48	27
49	69
50	28
51	72
52	10
53	73
54	11
55	76
56	12
57	33
58	80
59	13
60	34
61	85
62	14
63	37
64	89
65	15
66	41
67	94
68	17
69	46
70	96
71	1
72	97
73	2
74	99
75	3
76	103
77	4
78	48
79	49
80	50

[0, 1, 1, 2, 3, 5, 1, 7, 9, 12, 2, 13, 3, 16, 5, 6, 18, 1, 19, 2, 21, 3, 25, 27, 30, 32, 35, 38, 40, 41, 43, 45, 48, 13, 14, 15, 16, 18, 6, 53, 20, 7, 57, 21, 8, 64, 24, 65, 27, 69, 28, 72, 10, 73, 11, 76, 12, 33, 80, 13, 34, 85, 14, 37, 89, 15, 41, 94, 17, 46, 96, 1, 97, 2, 99, 3, 103, 4, 48, 49, 50]

cp's OEIS Frontend

A249069 a(n+1) gives the number of occurrences of the first digit of a(n) in factorial base (i.e., A099563(a(n))) so far amongst the factorial base representations of all the terms up to and including a(n), with a(0)=0.

Table of values

List of values

n	a(n)
0	0
1	1
2	1
3	2
4	3
5	5
6	1
7	7
8	9
9	12
10	2
11	13
12	3
13	16
14	5
15	6
16	18
17	1
18	19
19	2
20	21
21	3
22	25
23	27
24	30
25	32
26	35
27	38
28	40
29	41
30	43
31	45
32	48
33	13
34	14
35	15
36	16
37	18
38	6
39	53
40	20
41	7
42	57
43	21
44	8
45	64
46	24
47	65
48	27
49	69
50	28
51	72
52	10
53	73
54	11
55	76
56	12
57	33
58	80
59	13
60	34
61	85
62	14
63	37
64	89
65	15
66	41
67	94
68	17
69	46
70	96
71	1
72	97
73	2
74	99
75	3
76	103
77	4
78	48
79	49
80	50

n	a(n)
0	0
1	1
2	1
3	2
4	3
5	5
6	1
7	7
8	9
9	12
10	2
11	13
12	3
13	16
14	5
15	6
16	18
17	1
18	19
19	2
20	21
21	3
22	25
23	27
24	30
25	32
26	35
27	38
28	40
29	41
30	43
31	45
32	48
33	13
34	14
35	15
36	16
37	18
38	6
39	53
40	20
41	7
42	57
43	21
44	8
45	64
46	24
47	65
48	27
49	69
50	28
51	72
52	10
53	73
54	11
55	76
56	12
57	33
58	80
59	13
60	34
61	85
62	14
63	37
64	89
65	15
66	41
67	94
68	17
69	46
70	96
71	1
72	97
73	2
74	99
75	3
76	103
77	4
78	48
79	49
80	50

n	a(n)
0	0
1	1
2	1
3	2
4	3
5	5
6	1
7	7
8	9
9	12
10	2
11	13
12	3
13	16
14	5
15	6
16	18
17	1
18	19
19	2
20	21
21	3
22	25
23	27
24	30
25	32
26	35
27	38
28	40
29	41
30	43
31	45
32	48
33	13
34	14
35	15
36	16
37	18
38	6
39	53
40	20
41	7
42	57
43	21
44	8
45	64
46	24
47	65
48	27
49	69
50	28
51	72
52	10
53	73
54	11
55	76
56	12
57	33
58	80
59	13
60	34
61	85
62	14
63	37
64	89
65	15
66	41
67	94
68	17
69	46
70	96
71	1
72	97
73	2
74	99
75	3
76	103
77	4
78	48
79	49
80	50