A373889 - cp's OEIS frontend

A373889 Square array read by ascending antidiagonals: T(k,n) is the cardinality of {(E is a proper finite subset of the natural numbers) such that E = {} or w_k(E) < min(E) <= max(E) <= n}, where w_k(E) = Sum_{i in E, i <> k} 1, with n, k >= 1.

n	a(n)
1	2
2	1
3	3
4	1
5	2
6	4
7	1
8	2
9	4
10	6
11	1
12	2
13	4
14	7
15	9
16	1
17	2
18	3
19	6
20	11
21	14
22	1
23	2
24	3
25	6
26	10
27	17
28	22
29	1
30	2
31	3
32	5
33	10
34	17
35	26
36	35
37	1
38	2
39	3
40	5
41	10
42	16
43	28
44	40
45	56
46	1
47	2
48	3
49	5
50	8
51	16
52	26
53	45
54	62
55	90
56	1
57	2
58	3
59	5
60	8
61	16
62	26
63	43
64	71
65	97
66	145
67	1
68	2
69	3
70	5
71	8
72	13
73	26
74	42
75	71
76	111
77	153
78	234

[2, 1, 3, 1, 2, 4, 1, 2, 4, 6, 1, 2, 4, 7, 9, 1, 2, 3, 6, 11, 14, 1, 2, 3, 6, 10, 17, 22, 1, 2, 3, 5, 10, 17, 26, 35, 1, 2, 3, 5, 10, 16, 28, 40, 56, 1, 2, 3, 5, 8, 16, 26, 45, 62, 90, 1, 2, 3, 5, 8, 16, 26, 43, 71, 97, 145, 1, 2, 3, 5, 8, 13, 26, 42, 71, 111, 153, 234]

cp's OEIS Frontend

A373889 Square array read by ascending antidiagonals: T(k,n) is the cardinality of {(E is a proper finite subset of the natural numbers) such that E = {} or w_k(E) < min(E) <= max(E) <= n}, where w_k(E) = Sum_{i in E, i <> k} 1, with n, k >= 1.

Table of values

List of values

n	a(n)
1	2
2	1
3	3
4	1
5	2
6	4
7	1
8	2
9	4
10	6
11	1
12	2
13	4
14	7
15	9
16	1
17	2
18	3
19	6
20	11
21	14
22	1
23	2
24	3
25	6
26	10
27	17
28	22
29	1
30	2
31	3
32	5
33	10
34	17
35	26
36	35
37	1
38	2
39	3
40	5
41	10
42	16
43	28
44	40
45	56
46	1
47	2
48	3
49	5
50	8
51	16
52	26
53	45
54	62
55	90
56	1
57	2
58	3
59	5
60	8
61	16
62	26
63	43
64	71
65	97
66	145
67	1
68	2
69	3
70	5
71	8
72	13
73	26
74	42
75	71
76	111
77	153
78	234

n	a(n)
1	2
2	1
3	3
4	1
5	2
6	4
7	1
8	2
9	4
10	6
11	1
12	2
13	4
14	7
15	9
16	1
17	2
18	3
19	6
20	11
21	14
22	1
23	2
24	3
25	6
26	10
27	17
28	22
29	1
30	2
31	3
32	5
33	10
34	17
35	26
36	35
37	1
38	2
39	3
40	5
41	10
42	16
43	28
44	40
45	56
46	1
47	2
48	3
49	5
50	8
51	16
52	26
53	45
54	62
55	90
56	1
57	2
58	3
59	5
60	8
61	16
62	26
63	43
64	71
65	97
66	145
67	1
68	2
69	3
70	5
71	8
72	13
73	26
74	42
75	71
76	111
77	153
78	234

n	a(n)
1	2
2	1
3	3
4	1
5	2
6	4
7	1
8	2
9	4
10	6
11	1
12	2
13	4
14	7
15	9
16	1
17	2
18	3
19	6
20	11
21	14
22	1
23	2
24	3
25	6
26	10
27	17
28	22
29	1
30	2
31	3
32	5
33	10
34	17
35	26
36	35
37	1
38	2
39	3
40	5
41	10
42	16
43	28
44	40
45	56
46	1
47	2
48	3
49	5
50	8
51	16
52	26
53	45
54	62
55	90
56	1
57	2
58	3
59	5
60	8
61	16
62	26
63	43
64	71
65	97
66	145
67	1
68	2
69	3
70	5
71	8
72	13
73	26
74	42
75	71
76	111
77	153
78	234