A172003 - cp's OEIS frontend

A172003 Let y = y(u,v) be implicitly defined by g(u,v,y(u,v)) = 0. Read as a triangle by rows, the sequence represents the number of terms a(i,k-i) in the expansion of the bivariate divided difference [u_0,...,u_i; v_0,...,v_{k-i}]y in terms of trivariate divided differences of g.

n	a(n)
1	1
2	1
3	3
4	5
5	3
6	13
7	33
8	33
9	13
10	71
11	245
12	351
13	245
14	71
15	441
16	1921
17	3597
18	3597
19	1921
20	441
21	2955
22	15525
23	35931
24	46709
25	35931
26	15525
27	2955
28	20805
29	127905
30	352665
31	563821
32	563821
33	352665
34	127905
35	20805
36	151695
37	1067925
38	3417975
39	6483285
40	7963151

[1, 1, 3, 5, 3, 13, 33, 33, 13, 71, 245, 351, 245, 71, 441, 1921, 3597, 3597, 1921, 441, 2955, 15525, 35931, 46709, 35931, 15525, 2955, 20805, 127905, 352665, 563821, 563821, 352665, 127905, 20805, 151695, 1067925, 3417975, 6483285, 7963151]

cp's OEIS Frontend

A172003 Let y = y(u,v) be implicitly defined by g(u,v,y(u,v)) = 0. Read as a triangle by rows, the sequence represents the number of terms a(i,k-i) in the expansion of the bivariate divided difference [u_0,...,u_i; v_0,...,v_{k-i}]y in terms of trivariate divided differences of g.

Table of values

List of values