A354777 - cp's OEIS frontend

A354777 Irregular triangle read by rows: T(n,k) is the number of integer quadruples (u,v,w,x) such that u^2+v^2+w^2+x^2 = n and u+v+w+x = k (n>=0, 0 <= k <= A307531(n)).

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

[1, 0, 4, 12, 0, 6, 0, 12, 0, 4, 6, 0, 8, 0, 1, 0, 12, 0, 12, 24, 0, 24, 0, 12, 0, 16, 0, 12, 0, 4, 12, 0, 0, 0, 6, 0, 24, 0, 16, 0, 12, 24, 0, 30, 0, 24, 0, 6, 0, 12, 0, 24, 0, 12, 8, 0, 24, 0, 12, 0, 8, 0, 24, 0, 12, 0, 16, 0, 4, 48, 0, 24, 0, 24, 0, 24, 0, 36, 0, 24, 0, 24, 0, 12, 6, 0, 0, 0, 8, 0, 0, 0, 1, 0, 12, 0, 36, 0, 12, 0, 12]

cp's OEIS Frontend

A354777 Irregular triangle read by rows: T(n,k) is the number of integer quadruples (u,v,w,x) such that u^2+v^2+w^2+x^2 = n and u+v+w+x = k (n>=0, 0 <= k <= A307531(n)).

Table of values

List of values

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

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

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