A123221 - cp's OEIS frontend

A123221 Irregular triangle read by rows: the n-th row consists of the coefficients in the expansion of Sum_{j=0..n(n+1)/2} A008302(n+1,j)x^j*(1 - x)^(n - min(n, j)), where A008302 is the triangle of Mahonian numbers.

n	a(n)
0	1
1	1
2	1
3	0
4	1
5	1
6	1
7	0
8	2
9	3
10	5
11	3
12	1
13	1
14	0
15	3
16	5
17	11
18	22
19	20
20	15
21	9
22	4
23	1
24	1
25	0
26	4
27	7
28	18
29	41
30	90
31	101
32	101
33	90
34	71
35	49
36	29
37	14
38	5
39	1
40	1
41	0
42	5
43	9
44	26
45	64
46	154
47	359
48	455
49	531
50	573
51	573
52	531
53	455
54	359
55	259
56	169
57	98
58	49
59	20
60	6
61	1
62	1
63	0
64	6
65	11
66	35
67	91
68	234
69	583

[1, 1, 1, 0, 1, 1, 1, 0, 2, 3, 5, 3, 1, 1, 0, 3, 5, 11, 22, 20, 15, 9, 4, 1, 1, 0, 4, 7, 18, 41, 90, 101, 101, 90, 71, 49, 29, 14, 5, 1, 1, 0, 5, 9, 26, 64, 154, 359, 455, 531, 573, 573, 531, 455, 359, 259, 169, 98, 49, 20, 6, 1, 1, 0, 6, 11, 35, 91, 234, 583]

cp's OEIS Frontend

A123221 Irregular triangle read by rows: the n-th row consists of the coefficients in the expansion of Sum_{j=0..n(n+1)/2} A008302(n+1,j)x^j*(1 - x)^(n - min(n, j)), where A008302 is the triangle of Mahonian numbers.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	0
4	1
5	1
6	1
7	0
8	2
9	3
10	5
11	3
12	1
13	1
14	0
15	3
16	5
17	11
18	22
19	20
20	15
21	9
22	4
23	1
24	1
25	0
26	4
27	7
28	18
29	41
30	90
31	101
32	101
33	90
34	71
35	49
36	29
37	14
38	5
39	1
40	1
41	0
42	5
43	9
44	26
45	64
46	154
47	359
48	455
49	531
50	573
51	573
52	531
53	455
54	359
55	259
56	169
57	98
58	49
59	20
60	6
61	1
62	1
63	0
64	6
65	11
66	35
67	91
68	234
69	583

n	a(n)
0	1
1	1
2	1
3	0
4	1
5	1
6	1
7	0
8	2
9	3
10	5
11	3
12	1
13	1
14	0
15	3
16	5
17	11
18	22
19	20
20	15
21	9
22	4
23	1
24	1
25	0
26	4
27	7
28	18
29	41
30	90
31	101
32	101
33	90
34	71
35	49
36	29
37	14
38	5
39	1
40	1
41	0
42	5
43	9
44	26
45	64
46	154
47	359
48	455
49	531
50	573
51	573
52	531
53	455
54	359
55	259
56	169
57	98
58	49
59	20
60	6
61	1
62	1
63	0
64	6
65	11
66	35
67	91
68	234
69	583

cp's OEIS Frontend

A123221 Irregular triangle read by rows: the n-th row consists of the coefficients in the expansion of Sum_{j=0..n*(n+1)/2} A008302(n+1,j)*x^j*(1 - x)^(n - min(n, j)), where A008302 is the triangle of Mahonian numbers.

Table of values

List of values

A123221 Irregular triangle read by rows: the n-th row consists of the coefficients in the expansion of Sum_{j=0..n(n+1)/2} A008302(n+1,j)x^j*(1 - x)^(n - min(n, j)), where A008302 is the triangle of Mahonian numbers.

n	a(n)
0	1
1	1
2	1
3	0
4	1
5	1
6	1
7	0
8	2
9	3
10	5
11	3
12	1
13	1
14	0
15	3
16	5
17	11
18	22
19	20
20	15
21	9
22	4
23	1
24	1
25	0
26	4
27	7
28	18
29	41
30	90
31	101
32	101
33	90
34	71
35	49
36	29
37	14
38	5
39	1
40	1
41	0
42	5
43	9
44	26
45	64
46	154
47	359
48	455
49	531
50	573
51	573
52	531
53	455
54	359
55	259
56	169
57	98
58	49
59	20
60	6
61	1
62	1
63	0
64	6
65	11
66	35
67	91
68	234
69	583