A375863 - cp's OEIS frontend

A375863 a(1) = 0 and a(n) = A050603(n-1)^2 for n > 0. Lexicographically earliest nonnegative sequence of integers such that the Gilbreath transform of a(1..n) gives floor(log_2(n)).

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

[0, 1, 1, 4, 4, 1, 1, 9, 9, 1, 1, 4, 4, 1, 1, 16, 16, 1, 1, 4, 4, 1, 1, 9, 9, 1, 1, 4, 4, 1, 1, 25, 25, 1, 1, 4, 4, 1, 1, 9, 9, 1, 1, 4, 4, 1, 1, 16, 16, 1, 1, 4, 4, 1, 1, 9, 9, 1, 1, 4, 4, 1, 1, 36, 36, 1, 1, 4, 4, 1, 1, 9, 9, 1, 1, 4, 4, 1, 1, 16, 16, 1, 1, 4, 4, 1, 1, 9, 9, 1, 1, 4, 4, 1, 1, 25]

cp's OEIS Frontend

A375863 a(1) = 0 and a(n) = A050603(n-1)^2 for n > 0. Lexicographically earliest nonnegative sequence of integers such that the Gilbreath transform of a(1..n) gives floor(log_2(n)).

Table of values

List of values

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

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

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