A231715 - cp's OEIS frontend

A231715 For n with a unique factorial base representation n = duu! + ... + d22! + d1*1! (each di in range 0..i, cf. A007623), a(n) = Product_{i=1..u} (gcd(d_i,i+1) mod i+1), where u is given by A084558(n).

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

[1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2]

cp's OEIS Frontend

A231715 For n with a unique factorial base representation n = duu! + ... + d22! + d1*1! (each di in range 0..i, cf. A007623), a(n) = Product_{i=1..u} (gcd(d_i,i+1) mod i+1), where u is given by A084558(n).

Table of values

List of values

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

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

cp's OEIS Frontend

A231715 For n with a unique factorial base representation n = du*u! + ... + d2*2! + d1*1! (each di in range 0..i, cf. A007623), a(n) = Product_{i=1..u} (gcd(d_i,i+1) mod i+1), where u is given by A084558(n).

Table of values

List of values

A231715 For n with a unique factorial base representation n = duu! + ... + d22! + d1*1! (each di in range 0..i, cf. A007623), a(n) = Product_{i=1..u} (gcd(d_i,i+1) mod i+1), where u is given by A084558(n).

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