A232933 - cp's OEIS frontend

A232933 Number T(n,k) of permutations of [n] with exactly k (possibly overlapping, cyclic wrap-around) occurrences of the consecutive step pattern UDU (U=up, D=down); triangle T(n,k), n>=0, 0<=k<=floor(n/2), read by rows.

n	a(n)
0	1
1	1
2	0
3	2
4	3
5	3
6	12
7	4
8	8
9	35
10	45
11	40
12	144
13	348
14	132
15	96
16	910
17	1862
18	1316
19	952
20	5976
21	11600
22	14808
23	5760
24	2176
25	39942
26	100260
27	123606
28	63360
29	35712
30	306570
31	919270
32	1069910
33	910650
34	343040
35	79360
36	2698223
37	8427243
38	11694397
39	10673641
40	4477440
41	1945856

[1, 1, 0, 2, 3, 3, 12, 4, 8, 35, 45, 40, 144, 348, 132, 96, 910, 1862, 1316, 952, 5976, 11600, 14808, 5760, 2176, 39942, 100260, 123606, 63360, 35712, 306570, 919270, 1069910, 910650, 343040, 79360, 2698223, 8427243, 11694397, 10673641, 4477440, 1945856]

cp's OEIS Frontend

A232933 Number T(n,k) of permutations of [n] with exactly k (possibly overlapping, cyclic wrap-around) occurrences of the consecutive step pattern UDU (U=up, D=down); triangle T(n,k), n>=0, 0<=k<=floor(n/2), read by rows.

Table of values

List of values