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A187250 Triangle read by rows: T(n,k) is the number of permutations of [n] having k cycles with at least 3 alternating runs (it is assumed that the smallest element of a cycle is in the first position), 0<=k<=floor(n/4).

Table of values

n a(n)
0 1
1 1
2 2
3 6
4 22
5 2
6 94
7 26
8 460
9 260
10 2532
11 2508
12 15420
13 24760
14 140
15 102620
16 254968
17 5292
18 739512
19 2760432
20 128856
21 5729192
22 31547344
23 2640264
24 47429896
25 381339368
26 50186136
27 46200
28 417429800
29 4879612808
30 926494712
31 3483480
32 3888426512
33 66107044176
34 17025751600
35 157068912

List of values

[1, 1, 2, 6, 22, 2, 94, 26, 460, 260, 2532, 2508, 15420, 24760, 140, 102620, 254968, 5292, 739512, 2760432, 128856, 5729192, 31547344, 2640264, 47429896, 381339368, 50186136, 46200, 417429800, 4879612808, 926494712, 3483480, 3888426512, 66107044176, 17025751600, 157068912]