A090582 - cp's OEIS frontend

A090582 T(n, k) = Sum_{j=0..n-k} (-1)^jbinomial(n - k + 1, j)(n - k + 1 - j)^n. Triangle read by rows, T(n, k) for 1 <= k <= n.

n	a(n)
1	1
2	2
3	1
4	6
5	6
6	1
7	24
8	36
9	14
10	1
11	120
12	240
13	150
14	30
15	1
16	720
17	1800
18	1560
19	540
20	62
21	1
22	5040
23	15120
24	16800
25	8400
26	1806
27	126
28	1
29	40320
30	141120
31	191520
32	126000
33	40824
34	5796
35	254
36	1
37	362880
38	1451520
39	2328480
40	1905120
41	834120
42	186480
43	18150
44	510
45	1
46	3628800
47	16329600
48	30240000
49	29635200
50	16435440
51	5103000
52	818520
53	55980
54	1022
55	1

[1, 2, 1, 6, 6, 1, 24, 36, 14, 1, 120, 240, 150, 30, 1, 720, 1800, 1560, 540, 62, 1, 5040, 15120, 16800, 8400, 1806, 126, 1, 40320, 141120, 191520, 126000, 40824, 5796, 254, 1, 362880, 1451520, 2328480, 1905120, 834120, 186480, 18150, 510, 1, 3628800, 16329600, 30240000, 29635200, 16435440, 5103000, 818520, 55980, 1022, 1]

cp's OEIS Frontend

A090582 T(n, k) = Sum_{j=0..n-k} (-1)^jbinomial(n - k + 1, j)(n - k + 1 - j)^n. Triangle read by rows, T(n, k) for 1 <= k <= n.

Table of values

List of values

cp's OEIS Frontend

A090582 T(n, k) = Sum_{j=0..n-k} (-1)^j*binomial(n - k + 1, j)*(n - k + 1 - j)^n. Triangle read by rows, T(n, k) for 1 <= k <= n.

Table of values

List of values

A090582 T(n, k) = Sum_{j=0..n-k} (-1)^jbinomial(n - k + 1, j)(n - k + 1 - j)^n. Triangle read by rows, T(n, k) for 1 <= k <= n.