A047997 - cp's OEIS frontend

A047997 Triangle of numbers a(n,k) = number of balance positions when k equal weights are placed at a k-subset of the points {-n, -(n-1), ..., n-1, n} on a centrally pivoted rod.

n	a(n)
1	1
2	1
3	2
4	1
5	3
6	5
7	1
8	4
9	8
10	12
11	1
12	5
13	13
14	24
15	32
16	1
17	6
18	18
19	43
20	73
21	94
22	1
23	7
24	25
25	69
26	141
27	227
28	289
29	1
30	8
31	32
32	104
33	252
34	480
35	734
36	910
37	1
38	9
39	41
40	150
41	414
42	920
43	1656
44	2430
45	2934
46	1
47	10
48	50
49	207
50	649
51	1636
52	3370
53	5744
54	8150
55	9686
56	1
57	11
58	61
59	277
60	967

[1, 1, 2, 1, 3, 5, 1, 4, 8, 12, 1, 5, 13, 24, 32, 1, 6, 18, 43, 73, 94, 1, 7, 25, 69, 141, 227, 289, 1, 8, 32, 104, 252, 480, 734, 910, 1, 9, 41, 150, 414, 920, 1656, 2430, 2934, 1, 10, 50, 207, 649, 1636, 3370, 5744, 8150, 9686, 1, 11, 61, 277, 967]

cp's OEIS Frontend

A047997 Triangle of numbers a(n,k) = number of balance positions when k equal weights are placed at a k-subset of the points {-n, -(n-1), ..., n-1, n} on a centrally pivoted rod.

Table of values

List of values