A145271 - cp's OEIS frontend

A145271 Coefficients for expansion of (g(x)d/dx)^n g(x); refined Eulerian numbers for calculating compositional inverse of h(x) = (d/dx)^(-1) 1/g(x); iterated derivatives as infinitesimal generators of flows.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	4
6	1
7	1
8	11
9	4
10	7
11	1
12	1
13	26
14	34
15	32
16	15
17	11
18	1
19	1
20	57
21	180
22	122
23	34
24	192
25	76
26	15
27	26
28	16
29	1
30	1
31	120
32	768
33	423
34	496
35	1494
36	426
37	294
38	267
39	474
40	156
41	56
42	42
43	22
44	1
45	1
46	247
47	2904
48	1389
49	4288
50	9204
51	2127
52	496
53	5946
54	2829
55	5142
56	1206
57	855
58	768
59	1344
60	1038
61	288
62	56
63	98
64	64
65	29
66	1

[1, 1, 1, 1, 1, 4, 1, 1, 11, 4, 7, 1, 1, 26, 34, 32, 15, 11, 1, 1, 57, 180, 122, 34, 192, 76, 15, 26, 16, 1, 1, 120, 768, 423, 496, 1494, 426, 294, 267, 474, 156, 56, 42, 22, 1, 1, 247, 2904, 1389, 4288, 9204, 2127, 496, 5946, 2829, 5142, 1206, 855, 768, 1344, 1038, 288, 56, 98, 64, 29, 1]

cp's OEIS Frontend

A145271 Coefficients for expansion of (g(x)d/dx)^n g(x); refined Eulerian numbers for calculating compositional inverse of h(x) = (d/dx)^(-1) 1/g(x); iterated derivatives as infinitesimal generators of flows.

Table of values

List of values