A268439 - cp's OEIS frontend

A268439 Triangle read by rows, T(n,k) = C(2n,n+k)Sum_{m=0..k} (-1)^(m+k)C(n+k,n+m) Stirling2(n+m,m), for n>=0 and 0<=k<=n.

n	a(n)
0	1
1	0
2	1
3	0
4	4
5	3
6	0
7	15
8	60
9	15
10	0
11	56
12	700
13	840
14	105
15	0
16	210
17	6720
18	22050
19	12600
20	945
21	0
22	792
23	58905
24	421960
25	623700
26	207900
27	10395
28	0
29	3003
30	492492
31	6831825
32	20740720
33	17342325
34	3783780
35	135135
36	0
37	11440
38	4012008
39	100180080
40	551450900
41	916515600
42	491891400
43	75675600
44	2027025

[1, 0, 1, 0, 4, 3, 0, 15, 60, 15, 0, 56, 700, 840, 105, 0, 210, 6720, 22050, 12600, 945, 0, 792, 58905, 421960, 623700, 207900, 10395, 0, 3003, 492492, 6831825, 20740720, 17342325, 3783780, 135135, 0, 11440, 4012008, 100180080, 551450900, 916515600, 491891400, 75675600, 2027025]

cp's OEIS Frontend

A268439 Triangle read by rows, T(n,k) = C(2n,n+k)Sum_{m=0..k} (-1)^(m+k)C(n+k,n+m) Stirling2(n+m,m), for n>=0 and 0<=k<=n.

Table of values

List of values

cp's OEIS Frontend

A268439 Triangle read by rows, T(n,k) = C(2*n,n+k)*Sum_{m=0..k} (-1)^(m+k)*C(n+k,n+m)* Stirling2(n+m,m), for n>=0 and 0<=k<=n.

Table of values

List of values

A268439 Triangle read by rows, T(n,k) = C(2n,n+k)Sum_{m=0..k} (-1)^(m+k)C(n+k,n+m) Stirling2(n+m,m), for n>=0 and 0<=k<=n.