A190782 - cp's OEIS frontend

A190782 Triangle T(n,k), read by rows, of the coefficients of x^k in the expansion of Sum_(m=0..n) binomial(x,m) = (a(k)*x^k)/n!, n >= 0, 0 <= k <= n.

n	a(n)
0	1
1	1
2	1
3	2
4	1
5	1
6	6
7	5
8	0
9	1
10	24
11	14
12	11
13	-2
14	1
15	120
16	94
17	5
18	25
19	-5
20	1
21	720
22	444
23	304
24	-75
25	55
26	-9
27	1
28	5040
29	3828
30	364
31	1099
32	-350
33	112
34	-14
35	1
36	40320
37	25584
38	15980
39	-4340
40	3969
41	-1064
42	210
43	-20
44	1

[1, 1, 1, 2, 1, 1, 6, 5, 0, 1, 24, 14, 11, -2, 1, 120, 94, 5, 25, -5, 1, 720, 444, 304, -75, 55, -9, 1, 5040, 3828, 364, 1099, -350, 112, -14, 1, 40320, 25584, 15980, -4340, 3969, -1064, 210, -20, 1]

cp's OEIS Frontend

A190782 Triangle T(n,k), read by rows, of the coefficients of x^k in the expansion of Sum_(m=0..n) binomial(x,m) = (a(k)*x^k)/n!, n >= 0, 0 <= k <= n.

Table of values

List of values