A293405 - cp's OEIS frontend

A293405 The integer k that minimizes |k/n^2 - tau^2|, where tau = (1+sqrt(5))/2 (golden ratio).

n	a(n)
0	0
1	3
2	10
3	24
4	42
5	65
6	94
7	128
8	168
9	212
10	262
11	317
12	377
13	442
14	513
15	589
16	670
17	757
18	848
19	945
20	1047
21	1155
22	1267
23	1385
24	1508
25	1636
26	1770
27	1909
28	2053
29	2202
30	2356
31	2516
32	2681
33	2851
34	3026
35	3207
36	3393
37	3584
38	3780
39	3982
40	4189
41	4401
42	4618
43	4841
44	5069
45	5302
46	5540
47	5783

[0, 3, 10, 24, 42, 65, 94, 128, 168, 212, 262, 317, 377, 442, 513, 589, 670, 757, 848, 945, 1047, 1155, 1267, 1385, 1508, 1636, 1770, 1909, 2053, 2202, 2356, 2516, 2681, 2851, 3026, 3207, 3393, 3584, 3780, 3982, 4189, 4401, 4618, 4841, 5069, 5302, 5540, 5783]

cp's OEIS Frontend

A293405 The integer k that minimizes |k/n^2 - tau^2|, where tau = (1+sqrt(5))/2 (golden ratio).

Table of values

List of values