A209435 - cp's OEIS frontend

A209435 Table T(m,n), read by antidiagonals, is the number of subsets of {1,...,n} which do not contain two elements whose difference is m+1.

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	3
6	1
7	2
8	4
9	5
10	1
11	2
12	4
13	6
14	8
15	1
16	2
17	4
18	8
19	9
20	13
21	1
22	2
23	4
24	8
25	12
26	15
27	21
28	1
29	2
30	4
31	8
32	16
33	18
34	25
35	34
36	1
37	2
38	4
39	8
40	16
41	24
42	27
43	40
44	55
45	1
46	2
47	4
48	8
49	16
50	32
51	36
52	45
53	64
54	89
55	1
56	2
57	4
58	8
59	16
60	32
61	48
62	54
63	75
64	104
65	144
66	1
67	2
68	4
69	8
70	16
71	32
72	64
73	72
74	81

[1, 1, 2, 1, 2, 3, 1, 2, 4, 5, 1, 2, 4, 6, 8, 1, 2, 4, 8, 9, 13, 1, 2, 4, 8, 12, 15, 21, 1, 2, 4, 8, 16, 18, 25, 34, 1, 2, 4, 8, 16, 24, 27, 40, 55, 1, 2, 4, 8, 16, 32, 36, 45, 64, 89, 1, 2, 4, 8, 16, 32, 48, 54, 75, 104, 144, 1, 2, 4, 8, 16, 32, 64, 72, 81]

cp's OEIS Frontend

A209435 Table T(m,n), read by antidiagonals, is the number of subsets of {1,...,n} which do not contain two elements whose difference is m+1.

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	5
10	1
11	2
12	4
13	6
14	8
15	1
16	2
17	4
18	8
19	9
20	13
21	1
22	2
23	4
24	8
25	12
26	15
27	21
28	1
29	2
30	4
31	8
32	16
33	18
34	25
35	34
36	1
37	2
38	4
39	8
40	16
41	24
42	27
43	40
44	55
45	1
46	2
47	4
48	8
49	16
50	32
51	36
52	45
53	64
54	89
55	1
56	2
57	4
58	8
59	16
60	32
61	48
62	54
63	75
64	104
65	144
66	1
67	2
68	4
69	8
70	16
71	32
72	64
73	72
74	81

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	3
6	1
7	2
8	4
9	5
10	1
11	2
12	4
13	6
14	8
15	1
16	2
17	4
18	8
19	9
20	13
21	1
22	2
23	4
24	8
25	12
26	15
27	21
28	1
29	2
30	4
31	8
32	16
33	18
34	25
35	34
36	1
37	2
38	4
39	8
40	16
41	24
42	27
43	40
44	55
45	1
46	2
47	4
48	8
49	16
50	32
51	36
52	45
53	64
54	89
55	1
56	2
57	4
58	8
59	16
60	32
61	48
62	54
63	75
64	104
65	144
66	1
67	2
68	4
69	8
70	16
71	32
72	64
73	72
74	81

n	a(n)
0	1
1	1
2	2
3	1
4	2
5	3
6	1
7	2
8	4
9	5
10	1
11	2
12	4
13	6
14	8
15	1
16	2
17	4
18	8
19	9
20	13
21	1
22	2
23	4
24	8
25	12
26	15
27	21
28	1
29	2
30	4
31	8
32	16
33	18
34	25
35	34
36	1
37	2
38	4
39	8
40	16
41	24
42	27
43	40
44	55
45	1
46	2
47	4
48	8
49	16
50	32
51	36
52	45
53	64
54	89
55	1
56	2
57	4
58	8
59	16
60	32
61	48
62	54
63	75
64	104
65	144
66	1
67	2
68	4
69	8
70	16
71	32
72	64
73	72
74	81