A262747 - cp's OEIS frontend

A262747 Number of ordered ways to write n as x^2 + y^2 + phi(z^2) with 0 <= x <= y, z > 0, 2 | xyz, and phi(k^2) < n for all 0 < k < z, where phi(.) is Euler's totient function given by A000010.

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

[1, 2, 1, 1, 1, 3, 2, 1, 2, 4, 2, 2, 1, 2, 2, 1, 2, 3, 2, 3, 4, 3, 1, 2, 3, 4, 2, 4, 2, 2, 3, 1, 4, 2, 1, 2, 5, 4, 1, 2, 2, 6, 3, 2, 4, 4, 3, 3, 4, 3, 3, 5, 3, 3, 4, 2, 6, 7, 3, 4, 4, 5, 2, 2, 5, 6, 6, 1, 5, 4, 4, 4, 6, 6, 1, 4, 4, 2, 4, 3, 5, 6, 3, 4, 5, 5, 4, 2, 2, 6, 5, 4, 6, 3, 3, 1, 5, 3, 2, 3]

cp's OEIS Frontend

A262747 Number of ordered ways to write n as x^2 + y^2 + phi(z^2) with 0 <= x <= y, z > 0, 2 | xyz, and phi(k^2) < n for all 0 < k < z, where phi(.) is Euler's totient function given by A000010.

Table of values

List of values

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

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

cp's OEIS Frontend

A262747 Number of ordered ways to write n as x^2 + y^2 + phi(z^2) with 0 <= x <= y, z > 0, 2 | x*y*z, and phi(k^2) < n for all 0 < k < z, where phi(.) is Euler's totient function given by A000010.

Table of values

List of values

A262747 Number of ordered ways to write n as x^2 + y^2 + phi(z^2) with 0 <= x <= y, z > 0, 2 | xyz, and phi(k^2) < n for all 0 < k < z, where phi(.) is Euler's totient function given by A000010.

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