A083029 - cp's OEIS frontend

A083029 Triangle read by rows: T(n,k), n >=1, 0 <= k <= C(n,k), = number of n X n symmetric positive semi-definite matrices with 2's on the main diagonal and 1's and 0's elsewhere and with k 1's above the diagonal.

n	a(n)
1	1
2	1
3	1
4	1
5	3
6	3
7	1
8	1
9	6
10	15
11	20
12	15
13	6
14	1
15	1
16	10
17	45
18	120
19	210
20	192
21	200
22	90
23	45
24	10
25	1
26	1
27	15
28	105
29	455
30	1365
31	2517
32	3805
33	3975
34	3690
35	2910
36	1548
37	975
38	255
39	105
40	15
41	1
42	1
43	21
44	210
45	1330
46	5985
47	18207
48	39557
49	71235
50	95130
51	115115
52	110670
53	104265
54	72520
55	56070
56	32445
57	15862
58	7434
59	2730
60	665
61	210
62	21
63	1
64	1
65	28
66	378
67	3276
68	20475
69	91392
70	288596
71	692576
72	1374597
73	2161180
74	3247622
75	3740016
76	4422915
77	4117512
78	3886200
79	3044048
80	2579780
81	1591296
82	1111768
83	628600
84	323148
85	148184
86	65576
87	20160
88	7105
89	1540
90	378
91	28
92	1

[1, 1, 1, 1, 3, 3, 1, 1, 6, 15, 20, 15, 6, 1, 1, 10, 45, 120, 210, 192, 200, 90, 45, 10, 1, 1, 15, 105, 455, 1365, 2517, 3805, 3975, 3690, 2910, 1548, 975, 255, 105, 15, 1, 1, 21, 210, 1330, 5985, 18207, 39557, 71235, 95130, 115115, 110670, 104265, 72520, 56070, 32445, 15862, 7434, 2730, 665, 210, 21, 1, 1, 28, 378, 3276, 20475, 91392, 288596, 692576, 1374597, 2161180, 3247622, 3740016, 4422915, 4117512, 3886200, 3044048, 2579780, 1591296, 1111768, 628600, 323148, 148184, 65576, 20160, 7105, 1540, 378, 28, 1]

cp's OEIS Frontend

A083029 Triangle read by rows: T(n,k), n >=1, 0 <= k <= C(n,k), = number of n X n symmetric positive semi-definite matrices with 2's on the main diagonal and 1's and 0's elsewhere and with k 1's above the diagonal.

Table of values

List of values