A340780 - cp's OEIS frontend

A340780 Losing positions n (P-positions) in the following game: two players take turns dividing the current value of n by either a prime power > 1 or by A007947(n) to obtain the new value of n. The winner is the player whose division results in 1.

n	a(n)
1	1
2	12
3	18
4	20
5	28
6	44
7	45
8	50
9	52
10	63
11	68
12	75
13	76
14	92
15	98
16	99
17	116
18	117
19	120
20	124
21	147
22	148
23	153
24	164
25	168
26	171
27	172
28	175
29	188
30	207
31	212
32	216
33	236
34	242
35	244
36	245
37	261
38	264
39	268
40	270
41	275
42	279
43	280
44	284
45	292
46	312
47	316
48	325
49	332
50	333
51	338
52	356
53	363
54	369
55	378
56	387
57	388

[1, 12, 18, 20, 28, 44, 45, 50, 52, 63, 68, 75, 76, 92, 98, 99, 116, 117, 120, 124, 147, 148, 153, 164, 168, 171, 172, 175, 188, 207, 212, 216, 236, 242, 244, 245, 261, 264, 268, 270, 275, 279, 280, 284, 292, 312, 316, 325, 332, 333, 338, 356, 363, 369, 378, 387, 388]

cp's OEIS Frontend

A340780 Losing positions n (P-positions) in the following game: two players take turns dividing the current value of n by either a prime power > 1 or by A007947(n) to obtain the new value of n. The winner is the player whose division results in 1.

Table of values

List of values

n	a(n)
1	1
2	12
3	18
4	20
5	28
6	44
7	45
8	50
9	52
10	63
11	68
12	75
13	76
14	92
15	98
16	99
17	116
18	117
19	120
20	124
21	147
22	148
23	153
24	164
25	168
26	171
27	172
28	175
29	188
30	207
31	212
32	216
33	236
34	242
35	244
36	245
37	261
38	264
39	268
40	270
41	275
42	279
43	280
44	284
45	292
46	312
47	316
48	325
49	332
50	333
51	338
52	356
53	363
54	369
55	378
56	387
57	388

n	a(n)
1	1
2	12
3	18
4	20
5	28
6	44
7	45
8	50
9	52
10	63
11	68
12	75
13	76
14	92
15	98
16	99
17	116
18	117
19	120
20	124
21	147
22	148
23	153
24	164
25	168
26	171
27	172
28	175
29	188
30	207
31	212
32	216
33	236
34	242
35	244
36	245
37	261
38	264
39	268
40	270
41	275
42	279
43	280
44	284
45	292
46	312
47	316
48	325
49	332
50	333
51	338
52	356
53	363
54	369
55	378
56	387
57	388

n	a(n)
1	1
2	12
3	18
4	20
5	28
6	44
7	45
8	50
9	52
10	63
11	68
12	75
13	76
14	92
15	98
16	99
17	116
18	117
19	120
20	124
21	147
22	148
23	153
24	164
25	168
26	171
27	172
28	175
29	188
30	207
31	212
32	216
33	236
34	242
35	244
36	245
37	261
38	264
39	268
40	270
41	275
42	279
43	280
44	284
45	292
46	312
47	316
48	325
49	332
50	333
51	338
52	356
53	363
54	369
55	378
56	387
57	388