A303700 - cp's OEIS frontend

A303700 Triangle read by rows in which row n gives coefficients of polynomial f_n(x)/(n+1) of degree less than n that satisfies Integral_{x=0..1} g(t - x) * f_n(x) dx = g(t) for any polynomial g(x) of degree less than n.

n	a(n)
0	1
1	2
2	-3
3	3
4	-12
5	10
6	4
7	-30
8	60
9	-35
10	5
11	-60
12	210
13	-280
14	126
15	6
16	-105
17	560
18	-1260
19	1260
20	-462
21	7
22	-168
23	1260
24	-4200
25	6930
26	-5544
27	1716
28	8
29	-252
30	2520
31	-11550
32	27720
33	-36036
34	24024
35	-6435
36	9
37	-360
38	4620
39	-27720
40	90090
41	-168168
42	180180
43	-102960
44	24310

[1, 2, -3, 3, -12, 10, 4, -30, 60, -35, 5, -60, 210, -280, 126, 6, -105, 560, -1260, 1260, -462, 7, -168, 1260, -4200, 6930, -5544, 1716, 8, -252, 2520, -11550, 27720, -36036, 24024, -6435, 9, -360, 4620, -27720, 90090, -168168, 180180, -102960, 24310]

cp's OEIS Frontend

A303700 Triangle read by rows in which row n gives coefficients of polynomial f_n(x)/(n+1) of degree less than n that satisfies Integral_{x=0..1} g(t - x) * f_n(x) dx = g(t) for any polynomial g(x) of degree less than n.

Table of values

List of values