A374234 - cp's OEIS frontend

A374234 Number k such that the periods of the continued fractions of sqrt(k) and sqrt(k+1) have the same distinct terms.

n	a(n)
1	7
2	41
3	44
4	55
5	74
6	112
7	135
8	137
9	207
10	218
11	275
12	279
13	314
14	335
15	389
16	474
17	611
18	818
19	874
20	884
21	986
22	1007
23	1009
24	1129
25	1313
26	1325
27	1462
28	1465
29	1824
30	2330
31	2831
32	3201
33	3502
34	3575
35	4927
36	5520
37	6204
38	6623
39	8150
40	8945
41	10989
42	11627
43	11834
44	13033
45	13727
46	13775
47	13888

[7, 41, 44, 55, 74, 112, 135, 137, 207, 218, 275, 279, 314, 335, 389, 474, 611, 818, 874, 884, 986, 1007, 1009, 1129, 1313, 1325, 1462, 1465, 1824, 2330, 2831, 3201, 3502, 3575, 4927, 5520, 6204, 6623, 8150, 8945, 10989, 11627, 11834, 13033, 13727, 13775, 13888]

cp's OEIS Frontend

A374234 Number k such that the periods of the continued fractions of sqrt(k) and sqrt(k+1) have the same distinct terms.

Table of values

List of values