A262985 - cp's OEIS frontend

A262985 Number of ordered ways to write n as 2^x + phi(y^2) + z*(z+1)/2 with x, y and z positive integers, where phi(.) is Euler's totient function given by A000010.

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	2
7	2
8	1
9	3
10	2
11	5
12	2
13	5
14	2
15	5
16	4
17	4
18	4
19	5
20	7
21	3
22	3
23	5
24	5
25	8
26	4
27	5
28	3
29	5
30	4
31	8
32	4
33	3
34	6
35	5
36	2
37	9
38	6
39	8
40	4
41	5
42	5
43	8
44	6
45	8
46	8
47	4
48	6
49	8
50	10
51	7
52	6
53	7
54	8
55	9
56	6
57	7
58	7
59	12
60	5
61	9
62	8
63	6
64	7
65	12
66	5
67	9
68	6
69	9
70	6
71	11
72	9
73	11
74	5
75	6
76	10
77	8
78	7
79	9
80	11
81	5
82	7
83	7
84	8
85	7
86	9
87	8
88	8
89	9
90	6
91	7
92	9
93	7
94	10
95	9
96	4
97	6
98	6
99	7
100	9

[0, 0, 0, 1, 1, 2, 2, 1, 3, 2, 5, 2, 5, 2, 5, 4, 4, 4, 5, 7, 3, 3, 5, 5, 8, 4, 5, 3, 5, 4, 8, 4, 3, 6, 5, 2, 9, 6, 8, 4, 5, 5, 8, 6, 8, 8, 4, 6, 8, 10, 7, 6, 7, 8, 9, 6, 7, 7, 12, 5, 9, 8, 6, 7, 12, 5, 9, 6, 9, 6, 11, 9, 11, 5, 6, 10, 8, 7, 9, 11, 5, 7, 7, 8, 7, 9, 8, 8, 9, 6, 7, 9, 7, 10, 9, 4, 6, 6, 7, 9]

cp's OEIS Frontend

A262985 Number of ordered ways to write n as 2^x + phi(y^2) + z*(z+1)/2 with x, y and z positive integers, where phi(.) is Euler's totient function given by A000010.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	2
7	2
8	1
9	3
10	2
11	5
12	2
13	5
14	2
15	5
16	4
17	4
18	4
19	5
20	7
21	3
22	3
23	5
24	5
25	8
26	4
27	5
28	3
29	5
30	4
31	8
32	4
33	3
34	6
35	5
36	2
37	9
38	6
39	8
40	4
41	5
42	5
43	8
44	6
45	8
46	8
47	4
48	6
49	8
50	10
51	7
52	6
53	7
54	8
55	9
56	6
57	7
58	7
59	12
60	5
61	9
62	8
63	6
64	7
65	12
66	5
67	9
68	6
69	9
70	6
71	11
72	9
73	11
74	5
75	6
76	10
77	8
78	7
79	9
80	11
81	5
82	7
83	7
84	8
85	7
86	9
87	8
88	8
89	9
90	6
91	7
92	9
93	7
94	10
95	9
96	4
97	6
98	6
99	7
100	9

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	2
7	2
8	1
9	3
10	2
11	5
12	2
13	5
14	2
15	5
16	4
17	4
18	4
19	5
20	7
21	3
22	3
23	5
24	5
25	8
26	4
27	5
28	3
29	5
30	4
31	8
32	4
33	3
34	6
35	5
36	2
37	9
38	6
39	8
40	4
41	5
42	5
43	8
44	6
45	8
46	8
47	4
48	6
49	8
50	10
51	7
52	6
53	7
54	8
55	9
56	6
57	7
58	7
59	12
60	5
61	9
62	8
63	6
64	7
65	12
66	5
67	9
68	6
69	9
70	6
71	11
72	9
73	11
74	5
75	6
76	10
77	8
78	7
79	9
80	11
81	5
82	7
83	7
84	8
85	7
86	9
87	8
88	8
89	9
90	6
91	7
92	9
93	7
94	10
95	9
96	4
97	6
98	6
99	7
100	9

n	a(n)
1	0
2	0
3	0
4	1
5	1
6	2
7	2
8	1
9	3
10	2
11	5
12	2
13	5
14	2
15	5
16	4
17	4
18	4
19	5
20	7
21	3
22	3
23	5
24	5
25	8
26	4
27	5
28	3
29	5
30	4
31	8
32	4
33	3
34	6
35	5
36	2
37	9
38	6
39	8
40	4
41	5
42	5
43	8
44	6
45	8
46	8
47	4
48	6
49	8
50	10
51	7
52	6
53	7
54	8
55	9
56	6
57	7
58	7
59	12
60	5
61	9
62	8
63	6
64	7
65	12
66	5
67	9
68	6
69	9
70	6
71	11
72	9
73	11
74	5
75	6
76	10
77	8
78	7
79	9
80	11
81	5
82	7
83	7
84	8
85	7
86	9
87	8
88	8
89	9
90	6
91	7
92	9
93	7
94	10
95	9
96	4
97	6
98	6
99	7
100	9