A340264 - cp's OEIS frontend

A340264 T(n, k) = Sum_{j=0..k} binomial(n, k - j)*Stirling2(n - k + j, j). Triangle read by rows, 0 <= k <= n.

n	a(n)
0	1
1	0
2	2
3	0
4	1
5	4
6	0
7	1
8	6
9	8
10	0
11	1
12	11
13	24
14	16
15	0
16	1
17	20
18	70
19	80
20	32
21	0
22	1
23	37
24	195
25	340
26	240
27	64
28	0
29	1
30	70
31	539
32	1330
33	1400
34	672
35	128
36	0
37	1
38	135
39	1498
40	5033
41	7280
42	5152
43	1792
44	256
45	0
46	1
47	264
48	4204
49	18816
50	35826
51	34272
52	17472
53	4608
54	512

[1, 0, 2, 0, 1, 4, 0, 1, 6, 8, 0, 1, 11, 24, 16, 0, 1, 20, 70, 80, 32, 0, 1, 37, 195, 340, 240, 64, 0, 1, 70, 539, 1330, 1400, 672, 128, 0, 1, 135, 1498, 5033, 7280, 5152, 1792, 256, 0, 1, 264, 4204, 18816, 35826, 34272, 17472, 4608, 512]

cp's OEIS Frontend

A340264 T(n, k) = Sum_{j=0..k} binomial(n, k - j)*Stirling2(n - k + j, j). Triangle read by rows, 0 <= k <= n.

Table of values

List of values