A144385 - cp's OEIS frontend

A144385 Triangle read by rows: T(n,k) is the number of partitions of [1, 2, ..., k] into exactly n blocks, each of size 1, 2 or 3 (n >= 0, 0 <= k <= 3n).

n	a(n)
0	1
1	0
2	1
3	1
4	1
5	0
6	0
7	1
8	3
9	7
10	10
11	10
12	0
13	0
14	0
15	1
16	6
17	25
18	75
19	175
20	280
21	280
22	0
23	0
24	0
25	0
26	1
27	10
28	65
29	315
30	1225
31	3780
32	9100
33	15400
34	15400
35	0
36	0
37	0
38	0
39	0
40	1
41	15
42	140
43	980
44	5565
45	26145
46	102025
47	323400
48	800800
49	1401400
50	1401400
51	0
52	0
53	0
54	0
55	0
56	0
57	1
58	21
59	266
60	2520
61	19425
62	125895
63	695695
64	3273270
65	12962950
66	42042000
67	106506400
68	190590400
69	190590400

[1, 0, 1, 1, 1, 0, 0, 1, 3, 7, 10, 10, 0, 0, 0, 1, 6, 25, 75, 175, 280, 280, 0, 0, 0, 0, 1, 10, 65, 315, 1225, 3780, 9100, 15400, 15400, 0, 0, 0, 0, 0, 1, 15, 140, 980, 5565, 26145, 102025, 323400, 800800, 1401400, 1401400, 0, 0, 0, 0, 0, 0, 1, 21, 266, 2520, 19425, 125895, 695695, 3273270, 12962950, 42042000, 106506400, 190590400, 190590400]

cp's OEIS Frontend

A144385 Triangle read by rows: T(n,k) is the number of partitions of [1, 2, ..., k] into exactly n blocks, each of size 1, 2 or 3 (n >= 0, 0 <= k <= 3n).

Table of values

List of values