A143947 - cp's OEIS frontend

A143947 Triangle read by rows: T(n,k) is the number of permutations of [n] for which the sum of the positions of the right-to-left minima is k (1 <= k <= n*(n+1)/2).

n	a(n)
1	1
2	0
3	1
4	1
5	0
6	0
7	2
8	1
9	2
10	1
11	0
12	0
13	0
14	6
15	2
16	3
17	7
18	2
19	3
20	1
21	0
22	0
23	0
24	0
25	24
26	6
27	8
28	14
29	27
30	10
31	9
32	14
33	3
34	4
35	1
36	0
37	0
38	0
39	0
40	0
41	120
42	24
43	30
44	46
45	68
46	142
47	41
48	53
49	50
50	73
51	23
52	17
53	23
54	4
55	5
56	1
57	0
58	0
59	0
60	0
61	0
62	0
63	720
64	120
65	144
66	204
67	270
68	436
69	834
70	260
71	256
72	351
73	310
74	463
75	148
76	145
77	118
78	148
79	40

[1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 6, 2, 3, 7, 2, 3, 1, 0, 0, 0, 0, 24, 6, 8, 14, 27, 10, 9, 14, 3, 4, 1, 0, 0, 0, 0, 0, 120, 24, 30, 46, 68, 142, 41, 53, 50, 73, 23, 17, 23, 4, 5, 1, 0, 0, 0, 0, 0, 0, 720, 120, 144, 204, 270, 436, 834, 260, 256, 351, 310, 463, 148, 145, 118, 148, 40]

cp's OEIS Frontend

A143947 Triangle read by rows: T(n,k) is the number of permutations of [n] for which the sum of the positions of the right-to-left minima is k (1 <= k <= n*(n+1)/2).

Table of values

List of values

n	a(n)
1	1
2	0
3	1
4	1
5	0
6	0
7	2
8	1
9	2
10	1
11	0
12	0
13	0
14	6
15	2
16	3
17	7
18	2
19	3
20	1
21	0
22	0
23	0
24	0
25	24
26	6
27	8
28	14
29	27
30	10
31	9
32	14
33	3
34	4
35	1
36	0
37	0
38	0
39	0
40	0
41	120
42	24
43	30
44	46
45	68
46	142
47	41
48	53
49	50
50	73
51	23
52	17
53	23
54	4
55	5
56	1
57	0
58	0
59	0
60	0
61	0
62	0
63	720
64	120
65	144
66	204
67	270
68	436
69	834
70	260
71	256
72	351
73	310
74	463
75	148
76	145
77	118
78	148
79	40

n	a(n)
1	1
2	0
3	1
4	1
5	0
6	0
7	2
8	1
9	2
10	1
11	0
12	0
13	0
14	6
15	2
16	3
17	7
18	2
19	3
20	1
21	0
22	0
23	0
24	0
25	24
26	6
27	8
28	14
29	27
30	10
31	9
32	14
33	3
34	4
35	1
36	0
37	0
38	0
39	0
40	0
41	120
42	24
43	30
44	46
45	68
46	142
47	41
48	53
49	50
50	73
51	23
52	17
53	23
54	4
55	5
56	1
57	0
58	0
59	0
60	0
61	0
62	0
63	720
64	120
65	144
66	204
67	270
68	436
69	834
70	260
71	256
72	351
73	310
74	463
75	148
76	145
77	118
78	148
79	40

n	a(n)
1	1
2	0
3	1
4	1
5	0
6	0
7	2
8	1
9	2
10	1
11	0
12	0
13	0
14	6
15	2
16	3
17	7
18	2
19	3
20	1
21	0
22	0
23	0
24	0
25	24
26	6
27	8
28	14
29	27
30	10
31	9
32	14
33	3
34	4
35	1
36	0
37	0
38	0
39	0
40	0
41	120
42	24
43	30
44	46
45	68
46	142
47	41
48	53
49	50
50	73
51	23
52	17
53	23
54	4
55	5
56	1
57	0
58	0
59	0
60	0
61	0
62	0
63	720
64	120
65	144
66	204
67	270
68	436
69	834
70	260
71	256
72	351
73	310
74	463
75	148
76	145
77	118
78	148
79	40