A099510 - cp's OEIS frontend

A099510 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 + 2*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	2
3	1
4	4
5	1
6	1
7	6
8	6
9	4
10	1
11	8
12	15
13	20
14	1
15	1
16	10
17	28
18	56
19	15
20	6
21	1
22	12
23	45
24	120
25	70
26	56
27	1
28	1
29	14
30	66
31	220
32	210
33	252
34	28
35	8
36	1
37	16
38	91
39	364
40	495
41	792
42	210
43	120
44	1
45	1
46	18
47	120
48	560
49	1001
50	2002
51	924
52	792
53	45
54	10
55	1
56	20
57	153
58	816
59	1820
60	4368
61	3003
62	3432
63	495
64	220
65	1
66	1
67	22
68	190

[1, 1, 2, 1, 4, 1, 1, 6, 6, 4, 1, 8, 15, 20, 1, 1, 10, 28, 56, 15, 6, 1, 12, 45, 120, 70, 56, 1, 1, 14, 66, 220, 210, 252, 28, 8, 1, 16, 91, 364, 495, 792, 210, 120, 1, 1, 18, 120, 560, 1001, 2002, 924, 792, 45, 10, 1, 20, 153, 816, 1820, 4368, 3003, 3432, 495, 220, 1, 1, 22, 190]

cp's OEIS Frontend

A099510 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 + 2*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