A144512 - cp's OEIS frontend

A144512 Array read by upwards antidiagonals: T(n,k) = total number of partitions of [1, 2, ..., k] into exactly n blocks, each of size 1, 2, ..., k+1, for 0 <= k <= (k+1)*n.

n	a(n)
0	1
1	1
2	1
3	1
4	2
5	1
6	1
7	3
8	7
9	1
10	1
11	4
12	31
13	37
14	1
15	1
16	5
17	121
18	842
19	266
20	1
21	1
22	6
23	456
24	18252
25	45296
26	2431
27	1
28	1
29	7
30	1709
31	405408
32	7958726
33	4061871
34	27007
35	1
36	1
37	8
38	6427
39	9268549
40	1495388159
41	7528988476
42	546809243
43	353522
44	1
45	1
46	9
47	24301
48	216864652
49	295887993624
50	15467641899285

[1, 1, 1, 1, 2, 1, 1, 3, 7, 1, 1, 4, 31, 37, 1, 1, 5, 121, 842, 266, 1, 1, 6, 456, 18252, 45296, 2431, 1, 1, 7, 1709, 405408, 7958726, 4061871, 27007, 1, 1, 8, 6427, 9268549, 1495388159, 7528988476, 546809243, 353522, 1, 1, 9, 24301, 216864652, 295887993624, 15467641899285]

cp's OEIS Frontend

A144512 Array read by upwards antidiagonals: T(n,k) = total number of partitions of [1, 2, ..., k] into exactly n blocks, each of size 1, 2, ..., k+1, for 0 <= k <= (k+1)*n.

Table of values

List of values