A325873 - cp's OEIS frontend

A325873 T(n, k) = [x^k] Sum_{k=0..n} |Stirling1(n, k)|*FallingFactorial(x, k), triangle read by rows, for n >= 0 and 0 <= k <= n.

n	a(n)
0	1
1	0
2	1
3	0
4	0
5	1
6	0
7	1
8	0
9	1
10	0
11	1
12	4
13	0
14	1
15	0
16	8
17	5
18	10
19	0
20	1
21	0
22	26
23	58
24	15
25	20
26	0
27	1
28	0
29	194
30	217
31	238
32	35
33	35
34	0
35	1
36	0
37	1142
38	2035
39	1008
40	728
41	70
42	56
43	0
44	1
45	0
46	9736
47	13470
48	11611
49	3444
50	1848
51	126
52	84
53	0
54	1
55	0
56	81384
57	134164
58	85410
59	47815
60	9660
61	4116
62	210
63	120
64	0
65	1

[1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 4, 0, 1, 0, 8, 5, 10, 0, 1, 0, 26, 58, 15, 20, 0, 1, 0, 194, 217, 238, 35, 35, 0, 1, 0, 1142, 2035, 1008, 728, 70, 56, 0, 1, 0, 9736, 13470, 11611, 3444, 1848, 126, 84, 0, 1, 0, 81384, 134164, 85410, 47815, 9660, 4116, 210, 120, 0, 1]

cp's OEIS Frontend

A325873 T(n, k) = [x^k] Sum_{k=0..n} |Stirling1(n, k)|*FallingFactorial(x, k), triangle read by rows, for n >= 0 and 0 <= k <= n.

Table of values

List of values