A306606 - cp's OEIS frontend

A306606 Number of ways to write n as w^2 + T(x)^2 + Pen(y)^2 + 2Pen(z)^2, where w,x,y,z are integers with w > 0 and x >= 0, and T(m) = m(m+1)/2 and Pen(m) = m*(3m-1)/2.

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

[1, 2, 2, 3, 4, 3, 3, 3, 3, 6, 5, 4, 7, 5, 2, 5, 5, 6, 6, 3, 4, 5, 1, 2, 5, 6, 5, 5, 6, 3, 3, 2, 2, 6, 5, 3, 9, 7, 3, 6, 4, 5, 8, 3, 6, 7, 2, 4, 7, 6, 8, 9, 9, 6, 6, 5, 3, 9, 9, 6, 11, 7, 4, 10, 5, 6, 13, 5, 5, 9, 2, 5, 7, 7, 7, 10, 7, 3, 5, 3, 3, 6, 6, 5, 11, 6, 6, 9, 4, 6, 11, 3, 5, 9, 2, 5, 4, 4, 7, 11]

cp's OEIS Frontend

A306606 Number of ways to write n as w^2 + T(x)^2 + Pen(y)^2 + 2Pen(z)^2, where w,x,y,z are integers with w > 0 and x >= 0, and T(m) = m(m+1)/2 and Pen(m) = m*(3m-1)/2.

Table of values

List of values

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

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

cp's OEIS Frontend

A306606 Number of ways to write n as w^2 + T(x)^2 + Pen(y)^2 + 2*Pen(z)^2, where w,x,y,z are integers with w > 0 and x >= 0, and T(m) = m*(m+1)/2 and Pen(m) = m*(3m-1)/2.

Table of values

List of values

A306606 Number of ways to write n as w^2 + T(x)^2 + Pen(y)^2 + 2Pen(z)^2, where w,x,y,z are integers with w > 0 and x >= 0, and T(m) = m(m+1)/2 and Pen(m) = m*(3m-1)/2.

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