A325872 - cp's OEIS frontend

A325872 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	-2
5	1
6	0
7	7
8	-6
9	1
10	0
11	-35
12	40
13	-12
14	1
15	0
16	228
17	-315
18	130
19	-20
20	1
21	0
22	-1834
23	2908
24	-1485
25	320
26	-30
27	1
28	0
29	17582
30	-30989
31	18508
32	-5005
33	665
34	-42
35	1
36	0
37	-195866
38	375611
39	-253400
40	81088
41	-13650
42	1232
43	-56
44	1
45	0
46	2487832
47	-5112570
48	3805723
49	-1389612
50	279048
51	-32130
52	2100
53	-72
54	1

[1, 0, 1, 0, -2, 1, 0, 7, -6, 1, 0, -35, 40, -12, 1, 0, 228, -315, 130, -20, 1, 0, -1834, 2908, -1485, 320, -30, 1, 0, 17582, -30989, 18508, -5005, 665, -42, 1, 0, -195866, 375611, -253400, 81088, -13650, 1232, -56, 1, 0, 2487832, -5112570, 3805723, -1389612, 279048, -32130, 2100, -72, 1]

cp's OEIS Frontend

A325872 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