A053440 - cp's OEIS frontend

A053440 Number of k-simplices in the first derived complex of the standard triangulation of an n-simplex. Equivalently, T(n,k) is the number of ascending chains of length k+1 of nonempty subsets of the set {1, 2, ..., n+1}.

n	a(n)
0	1
1	3
2	2
3	7
4	12
5	6
6	15
7	50
8	60
9	24
10	31
11	180
12	390
13	360
14	120
15	63
16	602
17	2100
18	3360
19	2520
20	720
21	127
22	1932
23	10206
24	25200
25	31920
26	20160
27	5040
28	255
29	6050
30	46620
31	166824
32	317520
33	332640
34	181440
35	40320
36	511
37	18660
38	204630
39	1020600
40	2739240
41	4233600
42	3780000
43	1814400
44	362880

[1, 3, 2, 7, 12, 6, 15, 50, 60, 24, 31, 180, 390, 360, 120, 63, 602, 2100, 3360, 2520, 720, 127, 1932, 10206, 25200, 31920, 20160, 5040, 255, 6050, 46620, 166824, 317520, 332640, 181440, 40320, 511, 18660, 204630, 1020600, 2739240, 4233600, 3780000, 1814400, 362880]

cp's OEIS Frontend

A053440 Number of k-simplices in the first derived complex of the standard triangulation of an n-simplex. Equivalently, T(n,k) is the number of ascending chains of length k+1 of nonempty subsets of the set {1, 2, ..., n+1}.

Table of values

List of values