A383149 - cp's OEIS frontend

A383149 Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows, where T(n,k) = (-1)^k * [m^k] (1/2^(m-n)) * Sum_{k=0..m} k^n * (-1)^m * 3^(m-k) * binomial(m,k).

n	a(n)
0	1
1	0
2	1
3	0
4	3
5	1
6	0
7	12
8	9
9	1
10	0
11	66
12	75
13	18
14	1
15	0
16	480
17	690
18	255
19	30
20	1
21	0
22	4368
23	7290
24	3555
25	645
26	45
27	1
28	0
29	47712
30	88536
31	52290
32	12705
33	1365
34	63
35	1
36	0
37	608016
38	1223628
39	831684
40	249585
41	36120
42	2562
43	84
44	1
45	0
46	8855040
47	19019664
48	14405580
49	5073012
50	915705
51	87696
52	4410
53	108
54	1

[1, 0, 1, 0, 3, 1, 0, 12, 9, 1, 0, 66, 75, 18, 1, 0, 480, 690, 255, 30, 1, 0, 4368, 7290, 3555, 645, 45, 1, 0, 47712, 88536, 52290, 12705, 1365, 63, 1, 0, 608016, 1223628, 831684, 249585, 36120, 2562, 84, 1, 0, 8855040, 19019664, 14405580, 5073012, 915705, 87696, 4410, 108, 1]

cp's OEIS Frontend

A383149 Triangle T(n,k), n >= 0, 0 <= k <= n, read by rows, where T(n,k) = (-1)^k * [m^k] (1/2^(m-n)) * Sum_{k=0..m} k^n * (-1)^m * 3^(m-k) * binomial(m,k).

Table of values

List of values