A282497 - cp's OEIS frontend

A282497 'Somos expansion' of e: e=a(0)sqrt(a(1)sqrt(a(2)sqrt(a(3)sqrt(...)))). a(n)=floor(x(n)), x(n)=x(n-1)^2/a(n-1)^2, x(0)=e.

n	a(n)
0	2
1	1
2	3
3	1
4	1
5	2
6	1
7	3
8	1
9	2
10	1
11	3
12	1
13	1
14	2
15	2
16	1
17	1
18	1
19	3
20	1
21	1
22	2
23	1
24	1
25	3
26	1
27	1
28	1
29	2
30	1
31	1
32	3
33	1
34	1
35	1
36	1
37	1
38	2
39	1
40	1
41	3
42	1
43	2
44	1
45	1
46	1
47	3
48	1
49	2
50	1
51	1
52	2
53	1
54	2
55	1
56	2
57	1
58	3
59	1
60	1
61	2
62	1
63	1
64	3
65	1
66	2
67	1
68	2
69	1
70	1
71	2
72	1
73	2
74	1
75	1
76	2
77	1
78	1
79	2
80	1
81	1
82	2
83	1
84	1
85	2
86	1
87	2
88	1
89	1
90	3
91	1
92	2
93	1
94	3
95	1
96	2
97	1
98	2
99	1
100	3
101	1
102	1
103	2
104	1
105	2
106	1
107	1
108	1
109	2
110	1
111	1
112	3
113	1
114	1
115	1
116	1
117	3
118	1
119	1
120	1
121	1
122	2
123	1
124	1
125	3
126	1
127	1
128	2
129	1

[2, 1, 3, 1, 1, 2, 1, 3, 1, 2, 1, 3, 1, 1, 2, 2, 1, 1, 1, 3, 1, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 1, 3, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 3, 1, 1, 2, 1, 1, 3, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 3, 1, 2, 1, 3, 1, 2, 1, 2, 1, 3, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 2, 1]

cp's OEIS Frontend

A282497 'Somos expansion' of e: e=a(0)sqrt(a(1)sqrt(a(2)sqrt(a(3)sqrt(...)))). a(n)=floor(x(n)), x(n)=x(n-1)^2/a(n-1)^2, x(0)=e.

Table of values

List of values

n	a(n)
0	2
1	1
2	3
3	1
4	1
5	2
6	1
7	3
8	1
9	2
10	1
11	3
12	1
13	1
14	2
15	2
16	1
17	1
18	1
19	3
20	1
21	1
22	2
23	1
24	1
25	3
26	1
27	1
28	1
29	2
30	1
31	1
32	3
33	1
34	1
35	1
36	1
37	1
38	2
39	1
40	1
41	3
42	1
43	2
44	1
45	1
46	1
47	3
48	1
49	2
50	1
51	1
52	2
53	1
54	2
55	1
56	2
57	1
58	3
59	1
60	1
61	2
62	1
63	1
64	3
65	1
66	2
67	1
68	2
69	1
70	1
71	2
72	1
73	2
74	1
75	1
76	2
77	1
78	1
79	2
80	1
81	1
82	2
83	1
84	1
85	2
86	1
87	2
88	1
89	1
90	3
91	1
92	2
93	1
94	3
95	1
96	2
97	1
98	2
99	1
100	3
101	1
102	1
103	2
104	1
105	2
106	1
107	1
108	1
109	2
110	1
111	1
112	3
113	1
114	1
115	1
116	1
117	3
118	1
119	1
120	1
121	1
122	2
123	1
124	1
125	3
126	1
127	1
128	2
129	1

n	a(n)
0	2
1	1
2	3
3	1
4	1
5	2
6	1
7	3
8	1
9	2
10	1
11	3
12	1
13	1
14	2
15	2
16	1
17	1
18	1
19	3
20	1
21	1
22	2
23	1
24	1
25	3
26	1
27	1
28	1
29	2
30	1
31	1
32	3
33	1
34	1
35	1
36	1
37	1
38	2
39	1
40	1
41	3
42	1
43	2
44	1
45	1
46	1
47	3
48	1
49	2
50	1
51	1
52	2
53	1
54	2
55	1
56	2
57	1
58	3
59	1
60	1
61	2
62	1
63	1
64	3
65	1
66	2
67	1
68	2
69	1
70	1
71	2
72	1
73	2
74	1
75	1
76	2
77	1
78	1
79	2
80	1
81	1
82	2
83	1
84	1
85	2
86	1
87	2
88	1
89	1
90	3
91	1
92	2
93	1
94	3
95	1
96	2
97	1
98	2
99	1
100	3
101	1
102	1
103	2
104	1
105	2
106	1
107	1
108	1
109	2
110	1
111	1
112	3
113	1
114	1
115	1
116	1
117	3
118	1
119	1
120	1
121	1
122	2
123	1
124	1
125	3
126	1
127	1
128	2
129	1

cp's OEIS Frontend

A282497 'Somos expansion' of e: e=a(0)*sqrt(a(1)*sqrt(a(2)*sqrt(a(3)*sqrt(...)))). a(n)=floor(x(n)), x(n)=x(n-1)^2/a(n-1)^2, x(0)=e.

Table of values

List of values

A282497 'Somos expansion' of e: e=a(0)sqrt(a(1)sqrt(a(2)sqrt(a(3)sqrt(...)))). a(n)=floor(x(n)), x(n)=x(n-1)^2/a(n-1)^2, x(0)=e.

n	a(n)
0	2
1	1
2	3
3	1
4	1
5	2
6	1
7	3
8	1
9	2
10	1
11	3
12	1
13	1
14	2
15	2
16	1
17	1
18	1
19	3
20	1
21	1
22	2
23	1
24	1
25	3
26	1
27	1
28	1
29	2
30	1
31	1
32	3
33	1
34	1
35	1
36	1
37	1
38	2
39	1
40	1
41	3
42	1
43	2
44	1
45	1
46	1
47	3
48	1
49	2
50	1
51	1
52	2
53	1
54	2
55	1
56	2
57	1
58	3
59	1
60	1
61	2
62	1
63	1
64	3
65	1
66	2
67	1
68	2
69	1
70	1
71	2
72	1
73	2
74	1
75	1
76	2
77	1
78	1
79	2
80	1
81	1
82	2
83	1
84	1
85	2
86	1
87	2
88	1
89	1
90	3
91	1
92	2
93	1
94	3
95	1
96	2
97	1
98	2
99	1
100	3
101	1
102	1
103	2
104	1
105	2
106	1
107	1
108	1
109	2
110	1
111	1
112	3
113	1
114	1
115	1
116	1
117	3
118	1
119	1
120	1
121	1
122	2
123	1
124	1
125	3
126	1
127	1
128	2
129	1