A303699 - cp's OEIS frontend

A303699 Triangle read by rows in which row n gives coefficients of polynomial f_n(x) 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	4
2	-6
3	9
4	-36
5	30
6	16
7	-120
8	240
9	-140
10	25
11	-300
12	1050
13	-1400
14	630
15	36
16	-630
17	3360
18	-7560
19	7560
20	-2772
21	49
22	-1176
23	8820
24	-29400
25	48510
26	-38808
27	12012
28	64
29	-2016
30	20160
31	-92400
32	221760
33	-288288
34	192192
35	-51480
36	81
37	-3240
38	41580
39	-249480
40	810810
41	-1513512
42	1621620
43	-926640
44	218790

[1, 4, -6, 9, -36, 30, 16, -120, 240, -140, 25, -300, 1050, -1400, 630, 36, -630, 3360, -7560, 7560, -2772, 49, -1176, 8820, -29400, 48510, -38808, 12012, 64, -2016, 20160, -92400, 221760, -288288, 192192, -51480, 81, -3240, 41580, -249480, 810810, -1513512, 1621620, -926640, 218790]

cp's OEIS Frontend

A303699 Triangle read by rows in which row n gives coefficients of polynomial f_n(x) 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