A382833 - cp's OEIS frontend

A382833 Square array read by antidiagonals: T(n,k) is the number of distinct sum-of-powers vectors (Sum_{x in X} x^m, 0 <= m <= k) for subsets X of {0, ..., n-1}; n, k >= 0.

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	3
6	1
7	2
8	4
9	4
10	1
11	2
12	4
13	8
14	5
15	1
16	2
17	4
18	8
19	15
20	6
21	1
22	2
23	4
24	8
25	16
26	26
27	7
28	1
29	2
30	4
31	8
32	16
33	32
34	42
35	8
36	1
37	2
38	4
39	8
40	16
41	32
42	64
43	64
44	9
45	1
46	2
47	4
48	8
49	16
50	32
51	64
52	126
53	93
54	10
55	1
56	2
57	4
58	8
59	16
60	32
61	64
62	128
63	247
64	130
65	11
66	1
67	2
68	4
69	8
70	16
71	32
72	64
73	128
74	256
75	476
76	176
77	12

[1, 1, 2, 1, 2, 3, 1, 2, 4, 4, 1, 2, 4, 8, 5, 1, 2, 4, 8, 15, 6, 1, 2, 4, 8, 16, 26, 7, 1, 2, 4, 8, 16, 32, 42, 8, 1, 2, 4, 8, 16, 32, 64, 64, 9, 1, 2, 4, 8, 16, 32, 64, 126, 93, 10, 1, 2, 4, 8, 16, 32, 64, 128, 247, 130, 11, 1, 2, 4, 8, 16, 32, 64, 128, 256, 476, 176, 12]

cp's OEIS Frontend

A382833 Square array read by antidiagonals: T(n,k) is the number of distinct sum-of-powers vectors (Sum_{x in X} x^m, 0 <= m <= k) for subsets X of {0, ..., n-1}; n, k >= 0.

Table of values

List of values

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	3
6	1
7	2
8	4
9	4
10	1
11	2
12	4
13	8
14	5
15	1
16	2
17	4
18	8
19	15
20	6
21	1
22	2
23	4
24	8
25	16
26	26
27	7
28	1
29	2
30	4
31	8
32	16
33	32
34	42
35	8
36	1
37	2
38	4
39	8
40	16
41	32
42	64
43	64
44	9
45	1
46	2
47	4
48	8
49	16
50	32
51	64
52	126
53	93
54	10
55	1
56	2
57	4
58	8
59	16
60	32
61	64
62	128
63	247
64	130
65	11
66	1
67	2
68	4
69	8
70	16
71	32
72	64
73	128
74	256
75	476
76	176
77	12

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	3
6	1
7	2
8	4
9	4
10	1
11	2
12	4
13	8
14	5
15	1
16	2
17	4
18	8
19	15
20	6
21	1
22	2
23	4
24	8
25	16
26	26
27	7
28	1
29	2
30	4
31	8
32	16
33	32
34	42
35	8
36	1
37	2
38	4
39	8
40	16
41	32
42	64
43	64
44	9
45	1
46	2
47	4
48	8
49	16
50	32
51	64
52	126
53	93
54	10
55	1
56	2
57	4
58	8
59	16
60	32
61	64
62	128
63	247
64	130
65	11
66	1
67	2
68	4
69	8
70	16
71	32
72	64
73	128
74	256
75	476
76	176
77	12

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	3
6	1
7	2
8	4
9	4
10	1
11	2
12	4
13	8
14	5
15	1
16	2
17	4
18	8
19	15
20	6
21	1
22	2
23	4
24	8
25	16
26	26
27	7
28	1
29	2
30	4
31	8
32	16
33	32
34	42
35	8
36	1
37	2
38	4
39	8
40	16
41	32
42	64
43	64
44	9
45	1
46	2
47	4
48	8
49	16
50	32
51	64
52	126
53	93
54	10
55	1
56	2
57	4
58	8
59	16
60	32
61	64
62	128
63	247
64	130
65	11
66	1
67	2
68	4
69	8
70	16
71	32
72	64
73	128
74	256
75	476
76	176
77	12