A271707 - cp's OEIS frontend

A271707 Triangle read by rows, T(n,k) = Sum_{p in P(n,k)} Aut(p) where P(n,k) are the partitions of n with length k and Aut(p) = 1^j[1]j[1]!...n^j[n]j[n]! where j[m] is the number of parts in the partition p equal to m; for n>=0 and 0<=k<=n.

n	a(n)
0	1
1	0
2	1
3	0
4	2
5	2
6	0
7	3
8	2
9	6
10	0
11	4
12	11
13	4
14	24
15	0
16	5
17	10
18	14
19	12
20	120
21	0
22	6
23	31
24	62
25	34
26	48
27	720
28	0
29	7
30	28
31	60
32	84
33	120
34	240
35	5040
36	0
37	8
38	66
39	102
40	490
41	228
42	552
43	1440
44	40320
45	0
46	9
47	60
48	299
49	292
50	708
51	912
52	3120
53	10080
54	362880
55	0
56	10
57	120
58	282
59	722
60	4396
61	2136
62	4752
63	20880
64	80640
65	3628800

[1, 0, 1, 0, 2, 2, 0, 3, 2, 6, 0, 4, 11, 4, 24, 0, 5, 10, 14, 12, 120, 0, 6, 31, 62, 34, 48, 720, 0, 7, 28, 60, 84, 120, 240, 5040, 0, 8, 66, 102, 490, 228, 552, 1440, 40320, 0, 9, 60, 299, 292, 708, 912, 3120, 10080, 362880, 0, 10, 120, 282, 722, 4396, 2136, 4752, 20880, 80640, 3628800]

cp's OEIS Frontend

A271707 Triangle read by rows, T(n,k) = Sum_{p in P(n,k)} Aut(p) where P(n,k) are the partitions of n with length k and Aut(p) = 1^j[1]j[1]!...n^j[n]j[n]! where j[m] is the number of parts in the partition p equal to m; for n>=0 and 0<=k<=n.

Table of values

List of values

cp's OEIS Frontend

A271707 Triangle read by rows, T(n,k) = Sum_{p in P(n,k)} Aut(p) where P(n,k) are the partitions of n with length k and Aut(p) = 1^j[1]*j[1]!*...*n^j[n]*j[n]! where j[m] is the number of parts in the partition p equal to m; for n>=0 and 0<=k<=n.

Table of values

List of values

A271707 Triangle read by rows, T(n,k) = Sum_{p in P(n,k)} Aut(p) where P(n,k) are the partitions of n with length k and Aut(p) = 1^j[1]j[1]!...n^j[n]j[n]! where j[m] is the number of parts in the partition p equal to m; for n>=0 and 0<=k<=n.