A327759 - cp's OEIS frontend

A327759 a(1) = 1; a(2) = 2; a(n) = n - max{k a(k) = m(n)}, where m(n) is the largest term so far if a(n-1) is odd, the second largest term so far if a(n-1) is even.

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

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

cp's OEIS Frontend

A327759 a(1) = 1; a(2) = 2; a(n) = n - max{k a(k) = m(n)}, where m(n) is the largest term so far if a(n-1) is odd, the second largest term so far if a(n-1) is even.

Table of values

List of values

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

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

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