A099512 - cp's OEIS frontend

A099512 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 + 3*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	3
3	1
4	6
5	1
6	1
7	9
8	11
9	6
10	1
11	12
12	30
13	45
14	1
15	1
16	15
17	58
18	144
19	30
20	9
21	1
22	18
23	95
24	330
25	195
26	144
27	1
28	1
29	21
30	141
31	630
32	685
33	873
34	58
35	12
36	1
37	24
38	196
39	1071
40	1770
41	3258
42	685
43	330
44	1
45	1
46	27
47	260
48	1680
49	3801
50	9198
51	3989
52	3258
53	95
54	15
55	1
56	30
57	333
58	2484
59	7210
60	21672
61	15533

[1, 1, 3, 1, 6, 1, 1, 9, 11, 6, 1, 12, 30, 45, 1, 1, 15, 58, 144, 30, 9, 1, 18, 95, 330, 195, 144, 1, 1, 21, 141, 630, 685, 873, 58, 12, 1, 24, 196, 1071, 1770, 3258, 685, 330, 1, 1, 27, 260, 1680, 3801, 9198, 3989, 3258, 95, 15, 1, 30, 333, 2484, 7210, 21672, 15533]

cp's OEIS Frontend

A099512 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 + 3*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