A099509 - cp's OEIS frontend

A099509 Triangle, read by rows, of trinomial coefficients arranged so that there are n+1 terms in row n by setting T(n,k) equal to the coefficient of z^k in (1 + z + z^2)^(n-[k/2]), for n>=k>=0, where [k/2] is the integer floor of k/2.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	3
9	2
10	1
11	4
12	6
13	7
14	1
15	1
16	5
17	10
18	16
19	6
20	3
21	1
22	6
23	15
24	30
25	19
26	16
27	1
28	1
29	7
30	21
31	50
32	45
33	51
34	10
35	4
36	1
37	8
38	28
39	77
40	90
41	126
42	45
43	30
44	1
45	1
46	9
47	36
48	112
49	161
50	266
51	141
52	126
53	15
54	5
55	1
56	10
57	45
58	156
59	266
60	504
61	357
62	393
63	90
64	50
65	1
66	1
67	11
68	55
69	210
70	414
71	882
72	784
73	1016
74	357

[1, 1, 1, 1, 2, 1, 1, 3, 3, 2, 1, 4, 6, 7, 1, 1, 5, 10, 16, 6, 3, 1, 6, 15, 30, 19, 16, 1, 1, 7, 21, 50, 45, 51, 10, 4, 1, 8, 28, 77, 90, 126, 45, 30, 1, 1, 9, 36, 112, 161, 266, 141, 126, 15, 5, 1, 10, 45, 156, 266, 504, 357, 393, 90, 50, 1, 1, 11, 55, 210, 414, 882, 784, 1016, 357]

cp's OEIS Frontend

A099509 Triangle, read by rows, of trinomial coefficients arranged so that there are n+1 terms in row n by setting T(n,k) equal to the coefficient of z^k in (1 + z + z^2)^(n-[k/2]), for n>=k>=0, where [k/2] is the integer floor of k/2.

Table of values

List of values