A332700 - cp's OEIS frontend

A332700 A(n, k) = Sum_{j=0..n} j!Stirling2(n, j)(k-1)^(n-j), for n >= 0 and k >= 0, read by ascending antidiagonals.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	1
6	1
7	2
8	1
9	1
10	1
11	6
12	3
13	1
14	1
15	1
16	24
17	13
18	4
19	1
20	1
21	1
22	120
23	75
24	22
25	5
26	1
27	1
28	1
29	720
30	541
31	160
32	33
33	6
34	1
35	1
36	1
37	5040
38	4683
39	1456
40	285
41	46
42	7
43	1
44	1
45	1
46	40320
47	47293
48	15904
49	3081
50	456
51	61
52	8
53	1
54	1
55	1
56	362880
57	545835
58	202672
59	40005
60	5656
61	679
62	78
63	9
64	1
65	1

[1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 6, 3, 1, 1, 1, 24, 13, 4, 1, 1, 1, 120, 75, 22, 5, 1, 1, 1, 720, 541, 160, 33, 6, 1, 1, 1, 5040, 4683, 1456, 285, 46, 7, 1, 1, 1, 40320, 47293, 15904, 3081, 456, 61, 8, 1, 1, 1, 362880, 545835, 202672, 40005, 5656, 679, 78, 9, 1, 1]

cp's OEIS Frontend

A332700 A(n, k) = Sum_{j=0..n} j!Stirling2(n, j)(k-1)^(n-j), for n >= 0 and k >= 0, read by ascending antidiagonals.

Table of values

List of values

cp's OEIS Frontend

A332700 A(n, k) = Sum_{j=0..n} j!*Stirling2(n, j)*(k-1)^(n-j), for n >= 0 and k >= 0, read by ascending antidiagonals.

Table of values

List of values

A332700 A(n, k) = Sum_{j=0..n} j!Stirling2(n, j)(k-1)^(n-j), for n >= 0 and k >= 0, read by ascending antidiagonals.