A300280 - cp's OEIS frontend

A300280 Triangle defined by T(n,k) = Sum_{j>=0} C(j+k, k) * C((j+k)*k, n-k) / 2^(j+k+1), for n>=0, k = 0..n, as read by rows.

n	a(n)
0	1
1	0
2	1
3	0
4	3
5	1
6	0
7	5
8	10
9	1
10	0
11	7
12	57
13	21
14	1
15	0
16	9
17	252
18	246
19	36
20	1
21	0
22	11
23	969
24	2158
25	710
26	55
27	1
28	0
29	13
30	3414
31	15927
32	10260
33	1635
34	78
35	1
36	0
37	15
38	11329
39	104883
40	122125
41	35085
42	3255
43	105
44	1
45	0
46	17
47	35992
48	637252
49	1273192
50	611130
51	96992
52	5852
53	136
54	1
55	0
56	19
57	110625
58	3647268
59	12057412
60	9199386
61	2321004
62	230972
63	9756
64	171
65	1
66	0
67	21
68	331298
69	19935477
70	106181320
71	124315310
72	47518716
73	7261394
74	492408
75	15345
76	210
77	1
78	0
79	23
80	971609
81	105054633
82	883422885
83	1546241270
84	865414802
85	193797618
86	19669302
87	963795
88	23045
89	253
90	1

[1, 0, 1, 0, 3, 1, 0, 5, 10, 1, 0, 7, 57, 21, 1, 0, 9, 252, 246, 36, 1, 0, 11, 969, 2158, 710, 55, 1, 0, 13, 3414, 15927, 10260, 1635, 78, 1, 0, 15, 11329, 104883, 122125, 35085, 3255, 105, 1, 0, 17, 35992, 637252, 1273192, 611130, 96992, 5852, 136, 1, 0, 19, 110625, 3647268, 12057412, 9199386, 2321004, 230972, 9756, 171, 1, 0, 21, 331298, 19935477, 106181320, 124315310, 47518716, 7261394, 492408, 15345, 210, 1, 0, 23, 971609, 105054633, 883422885, 1546241270, 865414802, 193797618, 19669302, 963795, 23045, 253, 1]

cp's OEIS Frontend

A300280 Triangle defined by T(n,k) = Sum_{j>=0} C(j+k, k) * C((j+k)*k, n-k) / 2^(j+k+1), for n>=0, k = 0..n, as read by rows.

Table of values

List of values