A338372 - cp's OEIS frontend

A338372 T(n, m) = Sum_{k=1..(m+3)/2} C(m-k+2, k-1)C(n+1, k-1)C(n-m+k-1, k-1)C(2n-2k+4, 2m-4k+5)/(C(2k-2, k-1)C(2m-2k+4, 2k-2))/2, triangle read by rows.

n	a(n)
0	1
1	2
2	2
3	3
4	10
5	4
6	4
7	28
8	32
9	8
10	5
11	60
12	136
13	88
14	16
15	6
16	110
17	416
18	504
19	224
20	32
21	7
22	182
23	1036
24	2024
25	1616
26	544
27	64
28	8
29	280
30	2240
31	6448
32	8064
33	4736
34	1280
35	128
36	9
37	408
38	4368
39	17424
40	31456
41	28288
42	13056
43	2944
44	256
45	10
46	570
47	7872
48	41616
49	102592
50	130880
51	90880
52	34432
53	6656
54	512
55	11
56	770
57	13332
58	90288
59	291808
60	501568
61	487040
62	273792
63	87808
64	14848
65	1024

[1, 2, 2, 3, 10, 4, 4, 28, 32, 8, 5, 60, 136, 88, 16, 6, 110, 416, 504, 224, 32, 7, 182, 1036, 2024, 1616, 544, 64, 8, 280, 2240, 6448, 8064, 4736, 1280, 128, 9, 408, 4368, 17424, 31456, 28288, 13056, 2944, 256, 10, 570, 7872, 41616, 102592, 130880, 90880, 34432, 6656, 512, 11, 770, 13332, 90288, 291808, 501568, 487040, 273792, 87808, 14848, 1024]

cp's OEIS Frontend

A338372 T(n, m) = Sum_{k=1..(m+3)/2} C(m-k+2, k-1)C(n+1, k-1)C(n-m+k-1, k-1)C(2n-2k+4, 2m-4k+5)/(C(2k-2, k-1)C(2m-2k+4, 2k-2))/2, triangle read by rows.

Table of values

List of values

cp's OEIS Frontend

A338372 T(n, m) = Sum_{k=1..(m+3)/2} C(m-k+2, k-1)*C(n+1, k-1)*C(n-m+k-1, k-1)*C(2*n-2*k+4, 2*m-4*k+5)/(C(2*k-2, k-1)*C(2*m-2*k+4, 2*k-2))/2, triangle read by rows.

Table of values

List of values

A338372 T(n, m) = Sum_{k=1..(m+3)/2} C(m-k+2, k-1)C(n+1, k-1)C(n-m+k-1, k-1)C(2n-2k+4, 2m-4k+5)/(C(2k-2, k-1)C(2m-2k+4, 2k-2))/2, triangle read by rows.