A295638 - cp's OEIS frontend

A295638 Take the sequence of nonnegative integers whose decimal digits are not in strictly increasing order. Partition the sequence into subsequences whose elements are consecutive integers. Then a(n) is the number of elements in the n-th partition.

n	a(n)
1	2
2	3
3	4
4	5
5	6
6	7
7	8
8	9
9	33
10	4
11	5
12	6
13	7
14	8
15	9
16	44
17	5
18	6
19	7
20	8
21	9
22	55
23	6
24	7
25	8
26	9
27	66
28	7
29	8
30	9
31	77
32	8
33	9
34	88
35	9
36	99
37	444
38	5
39	6
40	7
41	8
42	9
43	55
44	6
45	7
46	8
47	9
48	66
49	7
50	8
51	9
52	77
53	8
54	9
55	88
56	9
57	99
58	555
59	6
60	7
61	8
62	9
63	66
64	7
65	8
66	9
67	77
68	8
69	9
70	88
71	9
72	99
73	666
74	7
75	8

[2, 3, 4, 5, 6, 7, 8, 9, 33, 4, 5, 6, 7, 8, 9, 44, 5, 6, 7, 8, 9, 55, 6, 7, 8, 9, 66, 7, 8, 9, 77, 8, 9, 88, 9, 99, 444, 5, 6, 7, 8, 9, 55, 6, 7, 8, 9, 66, 7, 8, 9, 77, 8, 9, 88, 9, 99, 555, 6, 7, 8, 9, 66, 7, 8, 9, 77, 8, 9, 88, 9, 99, 666, 7, 8]

cp's OEIS Frontend

A295638 Take the sequence of nonnegative integers whose decimal digits are not in strictly increasing order. Partition the sequence into subsequences whose elements are consecutive integers. Then a(n) is the number of elements in the n-th partition.

Table of values

List of values

n	a(n)
1	2
2	3
3	4
4	5
5	6
6	7
7	8
8	9
9	33
10	4
11	5
12	6
13	7
14	8
15	9
16	44
17	5
18	6
19	7
20	8
21	9
22	55
23	6
24	7
25	8
26	9
27	66
28	7
29	8
30	9
31	77
32	8
33	9
34	88
35	9
36	99
37	444
38	5
39	6
40	7
41	8
42	9
43	55
44	6
45	7
46	8
47	9
48	66
49	7
50	8
51	9
52	77
53	8
54	9
55	88
56	9
57	99
58	555
59	6
60	7
61	8
62	9
63	66
64	7
65	8
66	9
67	77
68	8
69	9
70	88
71	9
72	99
73	666
74	7
75	8

n	a(n)
1	2
2	3
3	4
4	5
5	6
6	7
7	8
8	9
9	33
10	4
11	5
12	6
13	7
14	8
15	9
16	44
17	5
18	6
19	7
20	8
21	9
22	55
23	6
24	7
25	8
26	9
27	66
28	7
29	8
30	9
31	77
32	8
33	9
34	88
35	9
36	99
37	444
38	5
39	6
40	7
41	8
42	9
43	55
44	6
45	7
46	8
47	9
48	66
49	7
50	8
51	9
52	77
53	8
54	9
55	88
56	9
57	99
58	555
59	6
60	7
61	8
62	9
63	66
64	7
65	8
66	9
67	77
68	8
69	9
70	88
71	9
72	99
73	666
74	7
75	8

n	a(n)
1	2
2	3
3	4
4	5
5	6
6	7
7	8
8	9
9	33
10	4
11	5
12	6
13	7
14	8
15	9
16	44
17	5
18	6
19	7
20	8
21	9
22	55
23	6
24	7
25	8
26	9
27	66
28	7
29	8
30	9
31	77
32	8
33	9
34	88
35	9
36	99
37	444
38	5
39	6
40	7
41	8
42	9
43	55
44	6
45	7
46	8
47	9
48	66
49	7
50	8
51	9
52	77
53	8
54	9
55	88
56	9
57	99
58	555
59	6
60	7
61	8
62	9
63	66
64	7
65	8
66	9
67	77
68	8
69	9
70	88
71	9
72	99
73	666
74	7
75	8