A379236 - cp's OEIS frontend

A379236 Numbers k such that x=(sigma(k) XOR 2*k) divides k in carryless binary arithmetic, when the binary expansions of k and x are interpreted as polynomials in ring GF(2)[X].

n	a(n)
1	10
2	12
3	18
4	20
5	24
6	40
7	56
8	88
9	104
10	116
11	136
12	184
13	196
14	224
15	312
16	368
17	428
18	464
19	520
20	528
21	650
22	672
23	760
24	884
25	992
26	1472
27	1504
28	1888
29	1952
30	2528
31	3424
32	3724
33	4832
34	5312
35	6464
36	7136
37	9112
38	11096
39	11288
40	11744
41	13216
42	15352
43	15376
44	15872
45	15968
46	16256
47	17816
48	17964
49	22616
50	24448
51	26728
52	28544
53	29296
54	30592
55	30656

[10, 12, 18, 20, 24, 40, 56, 88, 104, 116, 136, 184, 196, 224, 312, 368, 428, 464, 520, 528, 650, 672, 760, 884, 992, 1472, 1504, 1888, 1952, 2528, 3424, 3724, 4832, 5312, 6464, 7136, 9112, 11096, 11288, 11744, 13216, 15352, 15376, 15872, 15968, 16256, 17816, 17964, 22616, 24448, 26728, 28544, 29296, 30592, 30656]

cp's OEIS Frontend

A379236 Numbers k such that x=(sigma(k) XOR 2*k) divides k in carryless binary arithmetic, when the binary expansions of k and x are interpreted as polynomials in ring GF(2)[X].

Table of values

List of values