A144510 - cp's OEIS frontend

A144510 Array T(n,k) (n >= 1, k >= 0) read by downwards antidiagonals: T(n,k) = total number of partitions of [1, 2, ..., i] into exactly k nonempty blocks, each of size at most n, for any i in the range n <= i <= k*n.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	7
9	3
10	1
11	1
12	37
13	31
14	4
15	1
16	1
17	266
18	842
19	121
20	5
21	1
22	1
23	2431
24	45296
25	18252
26	456
27	6
28	1
29	1
30	27007
31	4061871
32	7958726
33	405408
34	1709
35	7
36	1
37	1
38	353522
39	546809243
40	7528988476
41	1495388159
42	9268549
43	6427
44	8
45	1

[1, 1, 1, 1, 2, 1, 1, 7, 3, 1, 1, 37, 31, 4, 1, 1, 266, 842, 121, 5, 1, 1, 2431, 45296, 18252, 456, 6, 1, 1, 27007, 4061871, 7958726, 405408, 1709, 7, 1, 1, 353522, 546809243, 7528988476, 1495388159, 9268549, 6427, 8, 1]

cp's OEIS Frontend

A144510 Array T(n,k) (n >= 1, k >= 0) read by downwards antidiagonals: T(n,k) = total number of partitions of [1, 2, ..., i] into exactly k nonempty blocks, each of size at most n, for any i in the range n <= i <= k*n.

Table of values

List of values