A049600 - cp's OEIS frontend

A049600 Array T read by diagonals; T(i,j) is the number of paths from (0,0) to (i,j) consisting of nonvertical segments (x(k),y(k))-to-(x(k+1),y(k+1)) such that 0 = x(1) < x(2) < ... < x(n-1) < x(n)=i, 0 = y(1) <= y(2) <= ... <= y(n-1) <= y(n)=j, for i >= 0, j >= 0.

n	a(n)
0	0
1	0
2	1
3	0
4	1
5	2
6	0
7	1
8	3
9	4
10	0
11	1
12	4
13	8
14	8
15	0
16	1
17	5
18	13
19	20
20	16
21	0
22	1
23	6
24	19
25	38
26	48
27	32
28	0
29	1
30	7
31	26
32	63
33	104
34	112
35	64
36	0
37	1
38	8
39	34
40	96
41	192
42	272
43	256
44	128
45	0
46	1
47	9
48	43
49	138
50	321
51	552
52	688
53	576
54	256
55	0
56	1
57	10
58	53
59	190
60	501
61	1002
62	1520
63	1696
64	1280
65	512

[0, 0, 1, 0, 1, 2, 0, 1, 3, 4, 0, 1, 4, 8, 8, 0, 1, 5, 13, 20, 16, 0, 1, 6, 19, 38, 48, 32, 0, 1, 7, 26, 63, 104, 112, 64, 0, 1, 8, 34, 96, 192, 272, 256, 128, 0, 1, 9, 43, 138, 321, 552, 688, 576, 256, 0, 1, 10, 53, 190, 501, 1002, 1520, 1696, 1280, 512]

cp's OEIS Frontend

A049600 Array T read by diagonals; T(i,j) is the number of paths from (0,0) to (i,j) consisting of nonvertical segments (x(k),y(k))-to-(x(k+1),y(k+1)) such that 0 = x(1) < x(2) < ... < x(n-1) < x(n)=i, 0 = y(1) <= y(2) <= ... <= y(n-1) <= y(n)=j, for i >= 0, j >= 0.

Table of values

List of values