A352523 - cp's OEIS frontend

A352523 Number of integer compositions of n with exactly k nonfixed points (parts not on the diagonal).

n	a(n)
0	1
1	1
2	0
3	0
4	2
5	0
6	1
7	1
8	2
9	0
10	0
11	4
12	2
13	2
14	0
15	0
16	5
17	5
18	4
19	2
20	0
21	1
22	3
23	12
24	8
25	6
26	2
27	0
28	0
29	7
30	14
31	19
32	14
33	8
34	2
35	0
36	0
37	8
38	21
39	33
40	32
41	22
42	10
43	2
44	0
45	0
46	9
47	30
48	54
49	63
50	54
51	32
52	12
53	2
54	0
55	1
56	6
57	47
58	80
59	116
60	116
61	86
62	44
63	14
64	2
65	0
66	0
67	11
68	53
69	129
70	194
71	229
72	202
73	130
74	58
75	16
76	2
77	0

[1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 4, 2, 2, 0, 0, 5, 5, 4, 2, 0, 1, 3, 12, 8, 6, 2, 0, 0, 7, 14, 19, 14, 8, 2, 0, 0, 8, 21, 33, 32, 22, 10, 2, 0, 0, 9, 30, 54, 63, 54, 32, 12, 2, 0, 1, 6, 47, 80, 116, 116, 86, 44, 14, 2, 0, 0, 11, 53, 129, 194, 229, 202, 130, 58, 16, 2, 0]

cp's OEIS Frontend

A352523 Number of integer compositions of n with exactly k nonfixed points (parts not on the diagonal).

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	0
4	2
5	0
6	1
7	1
8	2
9	0
10	0
11	4
12	2
13	2
14	0
15	0
16	5
17	5
18	4
19	2
20	0
21	1
22	3
23	12
24	8
25	6
26	2
27	0
28	0
29	7
30	14
31	19
32	14
33	8
34	2
35	0
36	0
37	8
38	21
39	33
40	32
41	22
42	10
43	2
44	0
45	0
46	9
47	30
48	54
49	63
50	54
51	32
52	12
53	2
54	0
55	1
56	6
57	47
58	80
59	116
60	116
61	86
62	44
63	14
64	2
65	0
66	0
67	11
68	53
69	129
70	194
71	229
72	202
73	130
74	58
75	16
76	2
77	0

n	a(n)
0	1
1	1
2	0
3	0
4	2
5	0
6	1
7	1
8	2
9	0
10	0
11	4
12	2
13	2
14	0
15	0
16	5
17	5
18	4
19	2
20	0
21	1
22	3
23	12
24	8
25	6
26	2
27	0
28	0
29	7
30	14
31	19
32	14
33	8
34	2
35	0
36	0
37	8
38	21
39	33
40	32
41	22
42	10
43	2
44	0
45	0
46	9
47	30
48	54
49	63
50	54
51	32
52	12
53	2
54	0
55	1
56	6
57	47
58	80
59	116
60	116
61	86
62	44
63	14
64	2
65	0
66	0
67	11
68	53
69	129
70	194
71	229
72	202
73	130
74	58
75	16
76	2
77	0

n	a(n)
0	1
1	1
2	0
3	0
4	2
5	0
6	1
7	1
8	2
9	0
10	0
11	4
12	2
13	2
14	0
15	0
16	5
17	5
18	4
19	2
20	0
21	1
22	3
23	12
24	8
25	6
26	2
27	0
28	0
29	7
30	14
31	19
32	14
33	8
34	2
35	0
36	0
37	8
38	21
39	33
40	32
41	22
42	10
43	2
44	0
45	0
46	9
47	30
48	54
49	63
50	54
51	32
52	12
53	2
54	0
55	1
56	6
57	47
58	80
59	116
60	116
61	86
62	44
63	14
64	2
65	0
66	0
67	11
68	53
69	129
70	194
71	229
72	202
73	130
74	58
75	16
76	2
77	0