A333303 - cp's OEIS frontend

A333303 T(n, k) = [x^k] (-2)^n*(B(n, x/2) - B(n, (x+1)/2)) where B(n, x) are the Bernoulli polynomials. Triangle read by rows, for 0 <= k <= n.

n	a(n)
0	0
1	1
2	1
3	-2
4	0
5	-3
6	3
7	-1
8	0
9	6
10	-4
11	0
12	5
13	0
14	-10
15	5
16	3
17	0
18	-15
19	0
20	15
21	-6
22	0
23	-21
24	0
25	35
26	0
27	-21
28	7
29	-17
30	0
31	84
32	0
33	-70
34	0
35	28
36	-8
37	0
38	153
39	0
40	-252
41	0
42	126
43	0
44	-36
45	9
46	155
47	0
48	-765
49	0
50	630
51	0
52	-210
53	0
54	45
55	-10
56	0
57	-1705
58	0
59	2805
60	0
61	-1386
62	0
63	330
64	0
65	-55
66	11

[0, 1, 1, -2, 0, -3, 3, -1, 0, 6, -4, 0, 5, 0, -10, 5, 3, 0, -15, 0, 15, -6, 0, -21, 0, 35, 0, -21, 7, -17, 0, 84, 0, -70, 0, 28, -8, 0, 153, 0, -252, 0, 126, 0, -36, 9, 155, 0, -765, 0, 630, 0, -210, 0, 45, -10, 0, -1705, 0, 2805, 0, -1386, 0, 330, 0, -55, 11]

cp's OEIS Frontend

A333303 T(n, k) = [x^k] (-2)^n*(B(n, x/2) - B(n, (x+1)/2)) where B(n, x) are the Bernoulli polynomials. Triangle read by rows, for 0 <= k <= n.

Table of values

List of values