A376080 - cp's OEIS frontend

A376080 a(n) is the highest degree of the rational function in the recursive substitution {y1, y2} -> {y2, (y2 + 1)/(y1*y2)} after n steps.

n	a(n)
0	1
1	1
2	1
3	2
4	4
5	5
6	7
7	10
8	13
9	16
10	20
11	25
12	29
13	34
14	40
15	46
16	52
17	59
18	67
19	74
20	82
21	91
22	100
23	109
24	119
25	130
26	140
27	151
28	163
29	175
30	187
31	200
32	214
33	227
34	241
35	256
36	271
37	286
38	302
39	319
40	335
41	352
42	370
43	388
44	406
45	425
46	445
47	464
48	484
49	505
50	526
51	547
52	569
53	592
54	614
55	637
56	661
57	685
58	709
59	734
60	760
61	785
62	811
63	838
64	865

[1, 1, 1, 2, 4, 5, 7, 10, 13, 16, 20, 25, 29, 34, 40, 46, 52, 59, 67, 74, 82, 91, 100, 109, 119, 130, 140, 151, 163, 175, 187, 200, 214, 227, 241, 256, 271, 286, 302, 319, 335, 352, 370, 388, 406, 425, 445, 464, 484, 505, 526, 547, 569, 592, 614, 637, 661, 685, 709, 734, 760, 785, 811, 838, 865]

cp's OEIS Frontend

A376080 a(n) is the highest degree of the rational function in the recursive substitution {y1, y2} -> {y2, (y2 + 1)/(y1*y2)} after n steps.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	2
4	4
5	5
6	7
7	10
8	13
9	16
10	20
11	25
12	29
13	34
14	40
15	46
16	52
17	59
18	67
19	74
20	82
21	91
22	100
23	109
24	119
25	130
26	140
27	151
28	163
29	175
30	187
31	200
32	214
33	227
34	241
35	256
36	271
37	286
38	302
39	319
40	335
41	352
42	370
43	388
44	406
45	425
46	445
47	464
48	484
49	505
50	526
51	547
52	569
53	592
54	614
55	637
56	661
57	685
58	709
59	734
60	760
61	785
62	811
63	838
64	865

n	a(n)
0	1
1	1
2	1
3	2
4	4
5	5
6	7
7	10
8	13
9	16
10	20
11	25
12	29
13	34
14	40
15	46
16	52
17	59
18	67
19	74
20	82
21	91
22	100
23	109
24	119
25	130
26	140
27	151
28	163
29	175
30	187
31	200
32	214
33	227
34	241
35	256
36	271
37	286
38	302
39	319
40	335
41	352
42	370
43	388
44	406
45	425
46	445
47	464
48	484
49	505
50	526
51	547
52	569
53	592
54	614
55	637
56	661
57	685
58	709
59	734
60	760
61	785
62	811
63	838
64	865

n	a(n)
0	1
1	1
2	1
3	2
4	4
5	5
6	7
7	10
8	13
9	16
10	20
11	25
12	29
13	34
14	40
15	46
16	52
17	59
18	67
19	74
20	82
21	91
22	100
23	109
24	119
25	130
26	140
27	151
28	163
29	175
30	187
31	200
32	214
33	227
34	241
35	256
36	271
37	286
38	302
39	319
40	335
41	352
42	370
43	388
44	406
45	425
46	445
47	464
48	484
49	505
50	526
51	547
52	569
53	592
54	614
55	637
56	661
57	685
58	709
59	734
60	760
61	785
62	811
63	838
64	865