A262172 - cp's OEIS frontend

A262172 Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 10.

n	a(n)
0	1
1	1
2	2
3	5
4	20
5	87
6	522
7	3271
8	26168
9	214955
10	2149550
11	21881102
12	262573224
13	3191352956
14	44678941384
15	631531613445
16	10104505815120
17	162875348137045
18	2931756266466810
19	53078841003479472
20	1061576820069589440
21	21327553502651079406
22	469206177058323746932

[1, 1, 2, 5, 20, 87, 522, 3271, 26168, 214955, 2149550, 21881102, 262573224, 3191352956, 44678941384, 631531613445, 10104505815120, 162875348137045, 2931756266466810, 53078841003479472, 1061576820069589440, 21327553502651079406, 469206177058323746932]

cp's OEIS Frontend

A262172 Number of permutations p of [n] such that the up-down signature of 0,p has nonnegative partial sums with a maximal value <= 10.

Table of values

List of values