A381369 - cp's OEIS frontend

A381369 A(n,k) is the sum over all partitions of [n] of k^j for a partition with j inversions; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	4
10	1
11	1
12	2
13	5
14	8
15	1
16	1
17	2
18	6
19	15
20	16
21	1
22	1
23	2
24	7
25	28
26	52
27	32
28	1
29	1
30	2
31	8
32	47
33	204
34	203
35	64
36	1
37	1
38	2
39	9
40	72
41	628
42	2344
43	877
44	128
45	1
46	1
47	2
48	10
49	103
50	1552
51	17327
52	43160
53	4140
54	256
55	1
56	1
57	2
58	11
59	140
60	3276
61	84416
62	1022983
63	1291952
64	21147
65	512

[1, 1, 1, 1, 1, 2, 1, 1, 2, 4, 1, 1, 2, 5, 8, 1, 1, 2, 6, 15, 16, 1, 1, 2, 7, 28, 52, 32, 1, 1, 2, 8, 47, 204, 203, 64, 1, 1, 2, 9, 72, 628, 2344, 877, 128, 1, 1, 2, 10, 103, 1552, 17327, 43160, 4140, 256, 1, 1, 2, 11, 140, 3276, 84416, 1022983, 1291952, 21147, 512]

cp's OEIS Frontend

A381369 A(n,k) is the sum over all partitions of [n] of k^j for a partition with j inversions; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values