A323186 - cp's OEIS frontend

A323186 a(0) = 0, a'(0) = 0, a''(0) = 1, a''(1) = -1, a(n) = a(n-1) + a'(n), a'(n) = a'(n-1) + a''(n), a''(n) = -a''(n-1) if a(n-2) = 0, or else a''(n-1).

n	a(n)
0	0
1	-1
2	-1
3	0
4	2
5	3
6	3
7	2
8	0
9	-3
10	-5
11	-6
12	-6
13	-5
14	-3
15	0
16	4
17	7
18	9
19	10
20	10
21	9
22	7
23	4
24	0
25	-5
26	-9
27	-12
28	-14
29	-15
30	-15
31	-14
32	-12
33	-9
34	-5
35	0
36	6
37	11
38	15
39	18
40	20
41	21
42	21
43	20
44	18
45	15
46	11
47	6
48	0
49	-7
50	-13
51	-18
52	-22
53	-25
54	-27
55	-28
56	-28
57	-27
58	-25
59	-22
60	-18
61	-13
62	-7
63	0
64	8
65	15
66	21
67	26
68	30
69	33
70	35
71	36
72	36
73	35
74	33
75	30
76	26
77	21
78	15
79	8
80	0
81	-9
82	-17
83	-24
84	-30
85	-35
86	-39
87	-42
88	-44
89	-45
90	-45
91	-44
92	-42
93	-39
94	-35
95	-30
96	-24
97	-17
98	-9
99	0

[0, -1, -1, 0, 2, 3, 3, 2, 0, -3, -5, -6, -6, -5, -3, 0, 4, 7, 9, 10, 10, 9, 7, 4, 0, -5, -9, -12, -14, -15, -15, -14, -12, -9, -5, 0, 6, 11, 15, 18, 20, 21, 21, 20, 18, 15, 11, 6, 0, -7, -13, -18, -22, -25, -27, -28, -28, -27, -25, -22, -18, -13, -7, 0, 8, 15, 21, 26, 30, 33, 35, 36, 36, 35, 33, 30, 26, 21, 15, 8, 0, -9, -17, -24, -30, -35, -39, -42, -44, -45, -45, -44, -42, -39, -35, -30, -24, -17, -9, 0]

cp's OEIS Frontend

A323186 a(0) = 0, a'(0) = 0, a''(0) = 1, a''(1) = -1, a(n) = a(n-1) + a'(n), a'(n) = a'(n-1) + a''(n), a''(n) = -a''(n-1) if a(n-2) = 0, or else a''(n-1).

Table of values

List of values

n	a(n)
0	0
1	-1
2	-1
3	0
4	2
5	3
6	3
7	2
8	0
9	-3
10	-5
11	-6
12	-6
13	-5
14	-3
15	0
16	4
17	7
18	9
19	10
20	10
21	9
22	7
23	4
24	0
25	-5
26	-9
27	-12
28	-14
29	-15
30	-15
31	-14
32	-12
33	-9
34	-5
35	0
36	6
37	11
38	15
39	18
40	20
41	21
42	21
43	20
44	18
45	15
46	11
47	6
48	0
49	-7
50	-13
51	-18
52	-22
53	-25
54	-27
55	-28
56	-28
57	-27
58	-25
59	-22
60	-18
61	-13
62	-7
63	0
64	8
65	15
66	21
67	26
68	30
69	33
70	35
71	36
72	36
73	35
74	33
75	30
76	26
77	21
78	15
79	8
80	0
81	-9
82	-17
83	-24
84	-30
85	-35
86	-39
87	-42
88	-44
89	-45
90	-45
91	-44
92	-42
93	-39
94	-35
95	-30
96	-24
97	-17
98	-9
99	0

n	a(n)
0	0
1	-1
2	-1
3	0
4	2
5	3
6	3
7	2
8	0
9	-3
10	-5
11	-6
12	-6
13	-5
14	-3
15	0
16	4
17	7
18	9
19	10
20	10
21	9
22	7
23	4
24	0
25	-5
26	-9
27	-12
28	-14
29	-15
30	-15
31	-14
32	-12
33	-9
34	-5
35	0
36	6
37	11
38	15
39	18
40	20
41	21
42	21
43	20
44	18
45	15
46	11
47	6
48	0
49	-7
50	-13
51	-18
52	-22
53	-25
54	-27
55	-28
56	-28
57	-27
58	-25
59	-22
60	-18
61	-13
62	-7
63	0
64	8
65	15
66	21
67	26
68	30
69	33
70	35
71	36
72	36
73	35
74	33
75	30
76	26
77	21
78	15
79	8
80	0
81	-9
82	-17
83	-24
84	-30
85	-35
86	-39
87	-42
88	-44
89	-45
90	-45
91	-44
92	-42
93	-39
94	-35
95	-30
96	-24
97	-17
98	-9
99	0

n	a(n)
0	0
1	-1
2	-1
3	0
4	2
5	3
6	3
7	2
8	0
9	-3
10	-5
11	-6
12	-6
13	-5
14	-3
15	0
16	4
17	7
18	9
19	10
20	10
21	9
22	7
23	4
24	0
25	-5
26	-9
27	-12
28	-14
29	-15
30	-15
31	-14
32	-12
33	-9
34	-5
35	0
36	6
37	11
38	15
39	18
40	20
41	21
42	21
43	20
44	18
45	15
46	11
47	6
48	0
49	-7
50	-13
51	-18
52	-22
53	-25
54	-27
55	-28
56	-28
57	-27
58	-25
59	-22
60	-18
61	-13
62	-7
63	0
64	8
65	15
66	21
67	26
68	30
69	33
70	35
71	36
72	36
73	35
74	33
75	30
76	26
77	21
78	15
79	8
80	0
81	-9
82	-17
83	-24
84	-30
85	-35
86	-39
87	-42
88	-44
89	-45
90	-45
91	-44
92	-42
93	-39
94	-35
95	-30
96	-24
97	-17
98	-9
99	0