A135317 - cp's OEIS frontend

A135317 Let h(2n, 1) = 2n and h(2n, m) = h(2n, m-1) + 2 * d(2n, m) for m > 1, where d(2n, m) = (least multiple of m not less than h(2n, m-1)) - h(2n, m-1). Then d(2n, m) is eventually 2-periodic as a function of m, and a(n) is defined as d(2n, 2*m+1) for large m.

n	a(n)
0	0
1	1
2	2
3	0
4	1
5	2
6	3
7	4
8	0
9	3
10	4
11	5
12	1
13	2
14	3
15	6
16	0
17	1
18	4
19	5
20	6
21	2
22	5
23	6
24	7
25	8
26	0
27	7
28	8
29	9
30	3
31	4
32	5
33	1
34	2
35	3
36	6
37	7
38	10
39	4
40	7
41	8
42	0
43	1
44	2
45	9
46	10
47	11
48	5
49	8
50	9
51	12
52	6
53	7
54	10
55	11
56	12
57	8
58	9
59	10
60	0
61	3
62	4
63	13
64	1
65	2
66	5
67	6
68	11
69	3
70	4
71	9
72	14
73	0
74	1
75	10
76	11
77	12
78	2
79	7
80	8
81	13
82	5
83	6
84	9
85	12
86	13
87	7
88	10
89	11
90	14
91	15
92	16
93	14

[0, 1, 2, 0, 1, 2, 3, 4, 0, 3, 4, 5, 1, 2, 3, 6, 0, 1, 4, 5, 6, 2, 5, 6, 7, 8, 0, 7, 8, 9, 3, 4, 5, 1, 2, 3, 6, 7, 10, 4, 7, 8, 0, 1, 2, 9, 10, 11, 5, 8, 9, 12, 6, 7, 10, 11, 12, 8, 9, 10, 0, 3, 4, 13, 1, 2, 5, 6, 11, 3, 4, 9, 14, 0, 1, 10, 11, 12, 2, 7, 8, 13, 5, 6, 9, 12, 13, 7, 10, 11, 14, 15, 16, 14]

cp's OEIS Frontend

A135317 Let h(2n, 1) = 2n and h(2n, m) = h(2n, m-1) + 2 * d(2n, m) for m > 1, where d(2n, m) = (least multiple of m not less than h(2n, m-1)) - h(2n, m-1). Then d(2n, m) is eventually 2-periodic as a function of m, and a(n) is defined as d(2n, 2*m+1) for large m.

Table of values

List of values

n	a(n)
0	0
1	1
2	2
3	0
4	1
5	2
6	3
7	4
8	0
9	3
10	4
11	5
12	1
13	2
14	3
15	6
16	0
17	1
18	4
19	5
20	6
21	2
22	5
23	6
24	7
25	8
26	0
27	7
28	8
29	9
30	3
31	4
32	5
33	1
34	2
35	3
36	6
37	7
38	10
39	4
40	7
41	8
42	0
43	1
44	2
45	9
46	10
47	11
48	5
49	8
50	9
51	12
52	6
53	7
54	10
55	11
56	12
57	8
58	9
59	10
60	0
61	3
62	4
63	13
64	1
65	2
66	5
67	6
68	11
69	3
70	4
71	9
72	14
73	0
74	1
75	10
76	11
77	12
78	2
79	7
80	8
81	13
82	5
83	6
84	9
85	12
86	13
87	7
88	10
89	11
90	14
91	15
92	16
93	14

n	a(n)
0	0
1	1
2	2
3	0
4	1
5	2
6	3
7	4
8	0
9	3
10	4
11	5
12	1
13	2
14	3
15	6
16	0
17	1
18	4
19	5
20	6
21	2
22	5
23	6
24	7
25	8
26	0
27	7
28	8
29	9
30	3
31	4
32	5
33	1
34	2
35	3
36	6
37	7
38	10
39	4
40	7
41	8
42	0
43	1
44	2
45	9
46	10
47	11
48	5
49	8
50	9
51	12
52	6
53	7
54	10
55	11
56	12
57	8
58	9
59	10
60	0
61	3
62	4
63	13
64	1
65	2
66	5
67	6
68	11
69	3
70	4
71	9
72	14
73	0
74	1
75	10
76	11
77	12
78	2
79	7
80	8
81	13
82	5
83	6
84	9
85	12
86	13
87	7
88	10
89	11
90	14
91	15
92	16
93	14

cp's OEIS Frontend

A135317 Let h(2*n, 1) = 2*n and h(2*n, m) = h(2*n, m-1) + 2 * d(2*n, m) for m > 1, where d(2*n, m) = (least multiple of m not less than h(2*n, m-1)) - h(2*n, m-1). Then d(2*n, m) is eventually 2-periodic as a function of m, and a(n) is defined as d(2*n, 2*m+1) for large m.

Table of values

List of values

A135317 Let h(2n, 1) = 2n and h(2n, m) = h(2n, m-1) + 2 * d(2n, m) for m > 1, where d(2n, m) = (least multiple of m not less than h(2n, m-1)) - h(2n, m-1). Then d(2n, m) is eventually 2-periodic as a function of m, and a(n) is defined as d(2n, 2*m+1) for large m.

n	a(n)
0	0
1	1
2	2
3	0
4	1
5	2
6	3
7	4
8	0
9	3
10	4
11	5
12	1
13	2
14	3
15	6
16	0
17	1
18	4
19	5
20	6
21	2
22	5
23	6
24	7
25	8
26	0
27	7
28	8
29	9
30	3
31	4
32	5
33	1
34	2
35	3
36	6
37	7
38	10
39	4
40	7
41	8
42	0
43	1
44	2
45	9
46	10
47	11
48	5
49	8
50	9
51	12
52	6
53	7
54	10
55	11
56	12
57	8
58	9
59	10
60	0
61	3
62	4
63	13
64	1
65	2
66	5
67	6
68	11
69	3
70	4
71	9
72	14
73	0
74	1
75	10
76	11
77	12
78	2
79	7
80	8
81	13
82	5
83	6
84	9
85	12
86	13
87	7
88	10
89	11
90	14
91	15
92	16
93	14