A284249 - cp's OEIS frontend

A284249 Number T(n,k) of k-element subsets of [n] whose sum is a triangular number; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	1
11	2
12	2
13	1
14	1
15	1
16	2
17	3
18	3
19	1
20	1
21	1
22	3
23	4
24	5
25	3
26	1
27	1
28	1
29	3
30	5
31	8
32	6
33	4
34	1
35	1
36	1
37	3
38	7
39	12
40	11
41	9
42	4
43	1
44	1
45	1
46	3
47	9
48	16
49	20
50	18
51	11
52	5
53	1
54	1
55	1
56	4
57	10
58	22
59	32
60	35
61	26
62	14
63	5
64	1
65	1
66	1
67	4
68	12
69	29
70	48
71	61
72	55
73	36
74	17
75	6
76	1
77	1
78	1
79	4
80	14
81	37
82	70
83	100
84	106
85	84
86	48
87	21
88	6
89	1
90	1

[1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 3, 3, 1, 1, 1, 3, 4, 5, 3, 1, 1, 1, 3, 5, 8, 6, 4, 1, 1, 1, 3, 7, 12, 11, 9, 4, 1, 1, 1, 3, 9, 16, 20, 18, 11, 5, 1, 1, 1, 4, 10, 22, 32, 35, 26, 14, 5, 1, 1, 1, 4, 12, 29, 48, 61, 55, 36, 17, 6, 1, 1, 1, 4, 14, 37, 70, 100, 106, 84, 48, 21, 6, 1, 1]

cp's OEIS Frontend

A284249 Number T(n,k) of k-element subsets of [n] whose sum is a triangular number; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	1
11	2
12	2
13	1
14	1
15	1
16	2
17	3
18	3
19	1
20	1
21	1
22	3
23	4
24	5
25	3
26	1
27	1
28	1
29	3
30	5
31	8
32	6
33	4
34	1
35	1
36	1
37	3
38	7
39	12
40	11
41	9
42	4
43	1
44	1
45	1
46	3
47	9
48	16
49	20
50	18
51	11
52	5
53	1
54	1
55	1
56	4
57	10
58	22
59	32
60	35
61	26
62	14
63	5
64	1
65	1
66	1
67	4
68	12
69	29
70	48
71	61
72	55
73	36
74	17
75	6
76	1
77	1
78	1
79	4
80	14
81	37
82	70
83	100
84	106
85	84
86	48
87	21
88	6
89	1
90	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	1
11	2
12	2
13	1
14	1
15	1
16	2
17	3
18	3
19	1
20	1
21	1
22	3
23	4
24	5
25	3
26	1
27	1
28	1
29	3
30	5
31	8
32	6
33	4
34	1
35	1
36	1
37	3
38	7
39	12
40	11
41	9
42	4
43	1
44	1
45	1
46	3
47	9
48	16
49	20
50	18
51	11
52	5
53	1
54	1
55	1
56	4
57	10
58	22
59	32
60	35
61	26
62	14
63	5
64	1
65	1
66	1
67	4
68	12
69	29
70	48
71	61
72	55
73	36
74	17
75	6
76	1
77	1
78	1
79	4
80	14
81	37
82	70
83	100
84	106
85	84
86	48
87	21
88	6
89	1
90	1

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	1
11	2
12	2
13	1
14	1
15	1
16	2
17	3
18	3
19	1
20	1
21	1
22	3
23	4
24	5
25	3
26	1
27	1
28	1
29	3
30	5
31	8
32	6
33	4
34	1
35	1
36	1
37	3
38	7
39	12
40	11
41	9
42	4
43	1
44	1
45	1
46	3
47	9
48	16
49	20
50	18
51	11
52	5
53	1
54	1
55	1
56	4
57	10
58	22
59	32
60	35
61	26
62	14
63	5
64	1
65	1
66	1
67	4
68	12
69	29
70	48
71	61
72	55
73	36
74	17
75	6
76	1
77	1
78	1
79	4
80	14
81	37
82	70
83	100
84	106
85	84
86	48
87	21
88	6
89	1
90	1