A172004 - cp's OEIS frontend

A172004 Let y = y(u,v) be implicitly defined by g(u,v,y(u,v)) = 0. Read as a triangle by rows k = 1,2,..., the sequence represents the number of terms a(i,k-i) in the expansion of the partial derivatives d^k y/du^i dv^{k-i} in terms of partial derivatives of g.

n	a(n)
1	1
2	1
3	3
4	4
5	3
6	9
7	15
8	15
9	9
10	24
11	47
12	59
13	47
14	24
15	61
16	136
17	195
18	195
19	136
20	61
21	145
22	360
23	580
24	663
25	580
26	360
27	145
28	333
29	904
30	1586
31	2032
32	2032
33	1586
34	904
35	333
36	732
37	2152
38	4077
39	5684
40	6350
41	5684
42	4077
43	2152
44	732
45	1565
46	4927
47	9948
48	14938
49	18123
50	18123
51	14938
52	9948

[1, 1, 3, 4, 3, 9, 15, 15, 9, 24, 47, 59, 47, 24, 61, 136, 195, 195, 136, 61, 145, 360, 580, 663, 580, 360, 145, 333, 904, 1586, 2032, 2032, 1586, 904, 333, 732, 2152, 4077, 5684, 6350, 5684, 4077, 2152, 732, 1565, 4927, 9948, 14938, 18123, 18123, 14938, 9948]

cp's OEIS Frontend

A172004 Let y = y(u,v) be implicitly defined by g(u,v,y(u,v)) = 0. Read as a triangle by rows k = 1,2,..., the sequence represents the number of terms a(i,k-i) in the expansion of the partial derivatives d^k y/du^i dv^{k-i} in terms of partial derivatives of g.

Table of values

List of values