A270706 - cp's OEIS frontend

A270706 Number of ordered ways to write n as x^2T(x) + y^2 + T(z), where x, y and z are integers with x nonzero, y positive and z nonnegative, and T(m) denotes the triangular number m(m+1)/2.

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

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

cp's OEIS Frontend

A270706 Number of ordered ways to write n as x^2T(x) + y^2 + T(z), where x, y and z are integers with x nonzero, y positive and z nonnegative, and T(m) denotes the triangular number m(m+1)/2.

Table of values

List of values

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

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

cp's OEIS Frontend

A270706 Number of ordered ways to write n as x^2*T(x) + y^2 + T(z), where x, y and z are integers with x nonzero, y positive and z nonnegative, and T(m) denotes the triangular number m*(m+1)/2.

Table of values

List of values

A270706 Number of ordered ways to write n as x^2T(x) + y^2 + T(z), where x, y and z are integers with x nonzero, y positive and z nonnegative, and T(m) denotes the triangular number m(m+1)/2.

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