A209434 - cp's OEIS frontend

A209434 Table T(n,m), 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	2
2	1
3	3
4	2
5	1
6	5
7	4
8	2
9	1
10	8
11	6
12	4
13	2
14	1
15	13
16	9
17	8
18	4
19	2
20	1
21	21
22	15
23	12
24	8
25	4
26	2
27	1
28	34
29	25
30	18
31	16
32	8
33	4
34	2
35	1
36	55
37	40
38	27
39	24
40	16
41	8
42	4
43	2
44	1
45	89
46	64
47	45
48	36
49	32
50	16
51	8
52	4
53	2
54	1
55	144
56	104
57	75
58	54
59	48
60	32
61	16
62	8
63	4
64	2
65	1
66	233
67	169
68	125
69	81
70	72
71	64
72	32

[1, 2, 1, 3, 2, 1, 5, 4, 2, 1, 8, 6, 4, 2, 1, 13, 9, 8, 4, 2, 1, 21, 15, 12, 8, 4, 2, 1, 34, 25, 18, 16, 8, 4, 2, 1, 55, 40, 27, 24, 16, 8, 4, 2, 1, 89, 64, 45, 36, 32, 16, 8, 4, 2, 1, 144, 104, 75, 54, 48, 32, 16, 8, 4, 2, 1, 233, 169, 125, 81, 72, 64, 32]

cp's OEIS Frontend

A209434 Table T(n,m), 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	2
2	1
3	3
4	2
5	1
6	5
7	4
8	2
9	1
10	8
11	6
12	4
13	2
14	1
15	13
16	9
17	8
18	4
19	2
20	1
21	21
22	15
23	12
24	8
25	4
26	2
27	1
28	34
29	25
30	18
31	16
32	8
33	4
34	2
35	1
36	55
37	40
38	27
39	24
40	16
41	8
42	4
43	2
44	1
45	89
46	64
47	45
48	36
49	32
50	16
51	8
52	4
53	2
54	1
55	144
56	104
57	75
58	54
59	48
60	32
61	16
62	8
63	4
64	2
65	1
66	233
67	169
68	125
69	81
70	72
71	64
72	32

n	a(n)
0	1
1	2
2	1
3	3
4	2
5	1
6	5
7	4
8	2
9	1
10	8
11	6
12	4
13	2
14	1
15	13
16	9
17	8
18	4
19	2
20	1
21	21
22	15
23	12
24	8
25	4
26	2
27	1
28	34
29	25
30	18
31	16
32	8
33	4
34	2
35	1
36	55
37	40
38	27
39	24
40	16
41	8
42	4
43	2
44	1
45	89
46	64
47	45
48	36
49	32
50	16
51	8
52	4
53	2
54	1
55	144
56	104
57	75
58	54
59	48
60	32
61	16
62	8
63	4
64	2
65	1
66	233
67	169
68	125
69	81
70	72
71	64
72	32

n	a(n)
0	1
1	2
2	1
3	3
4	2
5	1
6	5
7	4
8	2
9	1
10	8
11	6
12	4
13	2
14	1
15	13
16	9
17	8
18	4
19	2
20	1
21	21
22	15
23	12
24	8
25	4
26	2
27	1
28	34
29	25
30	18
31	16
32	8
33	4
34	2
35	1
36	55
37	40
38	27
39	24
40	16
41	8
42	4
43	2
44	1
45	89
46	64
47	45
48	36
49	32
50	16
51	8
52	4
53	2
54	1
55	144
56	104
57	75
58	54
59	48
60	32
61	16
62	8
63	4
64	2
65	1
66	233
67	169
68	125
69	81
70	72
71	64
72	32