A225437 - cp's OEIS frontend

A225437 Numbers of triples {x, y, z} such that z >= y > 0 and triangular(x) + triangular(y) * triangular(z) = 2^n.

n	a(n)
0	1
1	1
2	2
3	0
4	4
5	0
6	5
7	1
8	7
9	0
10	4
11	0
12	18
13	0
14	2
15	0
16	17
17	0
18	16
19	0
20	15
21	0
22	9
23	0
24	39
25	0
26	9
27	0
28	61
29	0
30	10
31	3
32	27
33	0
34	18
35	0
36	56
37	0
38	8
39	0
40	80
41	0
42	48
43	1
44	41
45	0
46	12
47	0
48	118
49	1
50	10
51	0
52	90
53	0
54	30
55	2
56	24
57	0
58	24

[1, 1, 2, 0, 4, 0, 5, 1, 7, 0, 4, 0, 18, 0, 2, 0, 17, 0, 16, 0, 15, 0, 9, 0, 39, 0, 9, 0, 61, 0, 10, 3, 27, 0, 18, 0, 56, 0, 8, 0, 80, 0, 48, 1, 41, 0, 12, 0, 118, 1, 10, 0, 90, 0, 30, 2, 24, 0, 24]

cp's OEIS Frontend

A225437 Numbers of triples {x, y, z} such that z >= y > 0 and triangular(x) + triangular(y) * triangular(z) = 2^n.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	0
4	4
5	0
6	5
7	1
8	7
9	0
10	4
11	0
12	18
13	0
14	2
15	0
16	17
17	0
18	16
19	0
20	15
21	0
22	9
23	0
24	39
25	0
26	9
27	0
28	61
29	0
30	10
31	3
32	27
33	0
34	18
35	0
36	56
37	0
38	8
39	0
40	80
41	0
42	48
43	1
44	41
45	0
46	12
47	0
48	118
49	1
50	10
51	0
52	90
53	0
54	30
55	2
56	24
57	0
58	24

n	a(n)
0	1
1	1
2	2
3	0
4	4
5	0
6	5
7	1
8	7
9	0
10	4
11	0
12	18
13	0
14	2
15	0
16	17
17	0
18	16
19	0
20	15
21	0
22	9
23	0
24	39
25	0
26	9
27	0
28	61
29	0
30	10
31	3
32	27
33	0
34	18
35	0
36	56
37	0
38	8
39	0
40	80
41	0
42	48
43	1
44	41
45	0
46	12
47	0
48	118
49	1
50	10
51	0
52	90
53	0
54	30
55	2
56	24
57	0
58	24

n	a(n)
0	1
1	1
2	2
3	0
4	4
5	0
6	5
7	1
8	7
9	0
10	4
11	0
12	18
13	0
14	2
15	0
16	17
17	0
18	16
19	0
20	15
21	0
22	9
23	0
24	39
25	0
26	9
27	0
28	61
29	0
30	10
31	3
32	27
33	0
34	18
35	0
36	56
37	0
38	8
39	0
40	80
41	0
42	48
43	1
44	41
45	0
46	12
47	0
48	118
49	1
50	10
51	0
52	90
53	0
54	30
55	2
56	24
57	0
58	24