A245733 - cp's OEIS frontend

A245733 Number T(n,k) of endofunctions on [n] such that at least one preimage with cardinality k exists and, if j is the largest value with a nonempty preimage, the preimage cardinality of i is >=k for all i<=j and equal to k for at least one i<=j; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

n	a(n)
0	1
1	0
2	1
3	1
4	2
5	1
6	14
7	12
8	0
9	1
10	181
11	68
12	6
13	0
14	1
15	2584
16	520
17	20
18	0
19	0
20	1
21	41973
22	4542
23	120
24	20
25	0
26	0
27	1
28	776250
29	46550
30	672
31	70
32	0
33	0
34	0
35	1
36	16231381
37	540136
38	5516
39	112
40	70
41	0
42	0
43	0
44	1
45	380333228
46	7045020
47	40140
48	1848
49	252
50	0
51	0
52	0
53	0
54	1

[1, 0, 1, 1, 2, 1, 14, 12, 0, 1, 181, 68, 6, 0, 1, 2584, 520, 20, 0, 0, 1, 41973, 4542, 120, 20, 0, 0, 1, 776250, 46550, 672, 70, 0, 0, 0, 1, 16231381, 540136, 5516, 112, 70, 0, 0, 0, 1, 380333228, 7045020, 40140, 1848, 252, 0, 0, 0, 0, 1]

cp's OEIS Frontend

A245733 Number T(n,k) of endofunctions on [n] such that at least one preimage with cardinality k exists and, if j is the largest value with a nonempty preimage, the preimage cardinality of i is >=k for all i<=j and equal to k for at least one i<=j; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Table of values

List of values