A227643 - cp's OEIS frontend

A227643 a(0)=1; for n > 0, a(n) = 1 + Sum_{i=A228086(n)..A228087(n)} [A092391(i) = n]*a(i), where [] is the Iverson bracket, resulting in 1 when i + A000120(i) = n and 0 otherwise.

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

[1, 1, 2, 3, 1, 5, 1, 6, 2, 3, 7, 4, 8, 1, 13, 1, 2, 16, 1, 18, 2, 1, 21, 1, 2, 22, 3, 2, 23, 4, 1, 26, 1, 6, 2, 7, 29, 1, 37, 1, 2, 38, 3, 2, 39, 4, 1, 42, 1, 5, 3, 1, 48, 4, 1, 50, 1, 5, 2, 2, 51, 6, 3, 1, 54, 55, 7, 59, 8, 2, 68, 1, 3, 69, 4, 2, 70, 5, 1, 73, 1]

cp's OEIS Frontend

A227643 a(0)=1; for n > 0, a(n) = 1 + Sum_{i=A228086(n)..A228087(n)} [A092391(i) = n]*a(i), where [] is the Iverson bracket, resulting in 1 when i + A000120(i) = n and 0 otherwise.

Table of values

List of values

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

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

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