A380390 - cp's OEIS frontend

A380390 Array read by ascending antidiagonals: A(n, k) is equal to n/k if k | n, else to the concatenation of A003988(n, k) = floor(n/k) and A380389(n - k*floor(n/k), k).

n	a(n)
1	1
2	2
3	12
4	3
5	1
6	13
7	4
8	112
9	23
10	14
11	5
12	2
13	1
14	12
15	15
16	6
17	212
18	113
19	34
20	25
21	16
22	7
23	3
24	123
25	1
26	35
27	13
28	17
29	8
30	312
31	2
32	114
33	45
34	12
35	27
36	18
37	9
38	4
39	213
40	112
41	1
42	23
43	37
44	14
45	19
46	10
47	412
48	223
49	134
50	115
51	56
52	47
53	38
54	29
55	110
56	11
57	5
58	3
59	2
60	125
61	1
62	57
63	12
64	13
65	15
66	111

[1, 2, 12, 3, 1, 13, 4, 112, 23, 14, 5, 2, 1, 12, 15, 6, 212, 113, 34, 25, 16, 7, 3, 123, 1, 35, 13, 17, 8, 312, 2, 114, 45, 12, 27, 18, 9, 4, 213, 112, 1, 23, 37, 14, 19, 10, 412, 223, 134, 115, 56, 47, 38, 29, 110, 11, 5, 3, 2, 125, 1, 57, 12, 13, 15, 111]

cp's OEIS Frontend

A380390 Array read by ascending antidiagonals: A(n, k) is equal to n/k if k | n, else to the concatenation of A003988(n, k) = floor(n/k) and A380389(n - k*floor(n/k), k).

Table of values

List of values

n	a(n)
1	1
2	2
3	12
4	3
5	1
6	13
7	4
8	112
9	23
10	14
11	5
12	2
13	1
14	12
15	15
16	6
17	212
18	113
19	34
20	25
21	16
22	7
23	3
24	123
25	1
26	35
27	13
28	17
29	8
30	312
31	2
32	114
33	45
34	12
35	27
36	18
37	9
38	4
39	213
40	112
41	1
42	23
43	37
44	14
45	19
46	10
47	412
48	223
49	134
50	115
51	56
52	47
53	38
54	29
55	110
56	11
57	5
58	3
59	2
60	125
61	1
62	57
63	12
64	13
65	15
66	111

n	a(n)
1	1
2	2
3	12
4	3
5	1
6	13
7	4
8	112
9	23
10	14
11	5
12	2
13	1
14	12
15	15
16	6
17	212
18	113
19	34
20	25
21	16
22	7
23	3
24	123
25	1
26	35
27	13
28	17
29	8
30	312
31	2
32	114
33	45
34	12
35	27
36	18
37	9
38	4
39	213
40	112
41	1
42	23
43	37
44	14
45	19
46	10
47	412
48	223
49	134
50	115
51	56
52	47
53	38
54	29
55	110
56	11
57	5
58	3
59	2
60	125
61	1
62	57
63	12
64	13
65	15
66	111

n	a(n)
1	1
2	2
3	12
4	3
5	1
6	13
7	4
8	112
9	23
10	14
11	5
12	2
13	1
14	12
15	15
16	6
17	212
18	113
19	34
20	25
21	16
22	7
23	3
24	123
25	1
26	35
27	13
28	17
29	8
30	312
31	2
32	114
33	45
34	12
35	27
36	18
37	9
38	4
39	213
40	112
41	1
42	23
43	37
44	14
45	19
46	10
47	412
48	223
49	134
50	115
51	56
52	47
53	38
54	29
55	110
56	11
57	5
58	3
59	2
60	125
61	1
62	57
63	12
64	13
65	15
66	111