A290694 - cp's OEIS frontend

A290694 Triangle read by rows, numerators of coefficients (in rising powers) of rational polynomials P(n, x) such that Integral_{x=0..1} P'(n, x) = Bernoulli(n, 1).

n	a(n)
0	0
1	1
2	0
3	0
4	1
5	0
6	0
7	-1
8	2
9	0
10	0
11	1
12	-2
13	3
14	0
15	0
16	-1
17	14
18	-9
19	24
20	0
21	0
22	1
23	-10
24	75
25	-48
26	20
27	0
28	0
29	-1
30	62
31	-135
32	312
33	-300
34	720
35	0
36	0
37	1
38	-42
39	903
40	-1680
41	2800
42	-2160
43	630
44	0
45	0
46	-1
47	254
48	-1449
49	40824
50	-21000
51	27360
52	-17640
53	4480

[0, 1, 0, 0, 1, 0, 0, -1, 2, 0, 0, 1, -2, 3, 0, 0, -1, 14, -9, 24, 0, 0, 1, -10, 75, -48, 20, 0, 0, -1, 62, -135, 312, -300, 720, 0, 0, 1, -42, 903, -1680, 2800, -2160, 630, 0, 0, -1, 254, -1449, 40824, -21000, 27360, -17640, 4480]

cp's OEIS Frontend

A290694 Triangle read by rows, numerators of coefficients (in rising powers) of rational polynomials P(n, x) such that Integral_{x=0..1} P'(n, x) = Bernoulli(n, 1).

Table of values

List of values