A336207 - cp's OEIS frontend

A336207 Lexicographically earliest sequence of nonnegative terms such that whenever a(k_1) = ... = a(k_m) with k_1 < ... < k_m, the sum k_1 + ... + k_m can be computed without carries in factorial base.

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

[0, 0, 1, 2, 3, 0, 2, 0, 4, 5, 6, 1, 5, 4, 7, 8, 9, 3, 10, 11, 12, 13, 14, 0, 8, 1, 11, 10, 15, 0, 16, 7, 17, 16, 18, 2, 19, 17, 20, 21, 22, 15, 23, 24, 25, 26, 27, 0, 13, 12, 24, 19, 28, 1, 21, 20, 29, 30, 31, 6, 30, 29, 32, 33, 34, 28, 35, 36, 37, 38, 39, 2]

cp's OEIS Frontend

A336207 Lexicographically earliest sequence of nonnegative terms such that whenever a(k_1) = ... = a(k_m) with k_1 < ... < k_m, the sum k_1 + ... + k_m can be computed without carries in factorial base.

Table of values

List of values

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

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

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