A192544 - cp's OEIS frontend

A192544 Bases b such that all integers m having the commuting property r(m)^2 = r(m^2), where r is cyclic replacement of digits d->(d+1) mod b, are of the form m = (b/2 - 1)*(b^k - 1)/(b - 1) + 1 for k >= 1.

n	a(n)
1	8
2	12
3	16
4	20
5	24
6	28
7	32
8	36
9	40
10	44
11	48
12	52
13	56
14	60
15	64
16	68
17	72
18	76
19	80
20	84
21	88
22	92
23	96
24	100
25	104
26	108
27	112
28	116
29	120
30	124
31	128
32	132
33	136
34	140
35	144
36	148
37	152
38	156
39	160
40	164
41	168
42	172
43	176
44	180
45	184
46	188
47	192
48	196
49	200
50	204
51	208
52	212
53	216
54	220
55	224
56	228
57	232
58	236
59	240
60	244
61	248
62	252
63	256
64	260
65	264

[8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200, 204, 208, 212, 216, 220, 224, 228, 232, 236, 240, 244, 248, 252, 256, 260, 264]

cp's OEIS Frontend

A192544 Bases b such that all integers m having the commuting property r(m)^2 = r(m^2), where r is cyclic replacement of digits d->(d+1) mod b, are of the form m = (b/2 - 1)*(b^k - 1)/(b - 1) + 1 for k >= 1.

Table of values

List of values

n	a(n)
1	8
2	12
3	16
4	20
5	24
6	28
7	32
8	36
9	40
10	44
11	48
12	52
13	56
14	60
15	64
16	68
17	72
18	76
19	80
20	84
21	88
22	92
23	96
24	100
25	104
26	108
27	112
28	116
29	120
30	124
31	128
32	132
33	136
34	140
35	144
36	148
37	152
38	156
39	160
40	164
41	168
42	172
43	176
44	180
45	184
46	188
47	192
48	196
49	200
50	204
51	208
52	212
53	216
54	220
55	224
56	228
57	232
58	236
59	240
60	244
61	248
62	252
63	256
64	260
65	264

n	a(n)
1	8
2	12
3	16
4	20
5	24
6	28
7	32
8	36
9	40
10	44
11	48
12	52
13	56
14	60
15	64
16	68
17	72
18	76
19	80
20	84
21	88
22	92
23	96
24	100
25	104
26	108
27	112
28	116
29	120
30	124
31	128
32	132
33	136
34	140
35	144
36	148
37	152
38	156
39	160
40	164
41	168
42	172
43	176
44	180
45	184
46	188
47	192
48	196
49	200
50	204
51	208
52	212
53	216
54	220
55	224
56	228
57	232
58	236
59	240
60	244
61	248
62	252
63	256
64	260
65	264

n	a(n)
1	8
2	12
3	16
4	20
5	24
6	28
7	32
8	36
9	40
10	44
11	48
12	52
13	56
14	60
15	64
16	68
17	72
18	76
19	80
20	84
21	88
22	92
23	96
24	100
25	104
26	108
27	112
28	116
29	120
30	124
31	128
32	132
33	136
34	140
35	144
36	148
37	152
38	156
39	160
40	164
41	168
42	172
43	176
44	180
45	184
46	188
47	192
48	196
49	200
50	204
51	208
52	212
53	216
54	220
55	224
56	228
57	232
58	236
59	240
60	244
61	248
62	252
63	256
64	260
65	264