A381426 - cp's OEIS frontend

A381426 A(n,k) is the sum over all ordered partitions of [n] of k^j for an ordered 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	3
9	4
10	1
11	1
12	4
13	13
14	8
15	1
16	1
17	5
18	36
19	75
20	16
21	1
22	1
23	6
24	79
25	696
26	541
27	32
28	1
29	1
30	7
31	148
32	3851
33	27808
34	4683
35	64
36	1
37	1
38	8
39	249
40	14808
41	567733
42	2257888
43	47293
44	128
45	1
46	1
47	9
48	388
49	44643
50	5942608
51	251790113
52	369572160
53	545835
54	256
55	1
56	1
57	10
58	571
59	113480
60	40065301
61	9546508128
62	335313799327
63	121459776768
64	7087261
65	512

[1, 1, 1, 1, 1, 2, 1, 1, 3, 4, 1, 1, 4, 13, 8, 1, 1, 5, 36, 75, 16, 1, 1, 6, 79, 696, 541, 32, 1, 1, 7, 148, 3851, 27808, 4683, 64, 1, 1, 8, 249, 14808, 567733, 2257888, 47293, 128, 1, 1, 9, 388, 44643, 5942608, 251790113, 369572160, 545835, 256, 1, 1, 10, 571, 113480, 40065301, 9546508128, 335313799327, 121459776768, 7087261, 512]

cp's OEIS Frontend

A381426 A(n,k) is the sum over all ordered partitions of [n] of k^j for an ordered partition with j inversions; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values