A242783 - cp's OEIS frontend

A242783 Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=up and 0=down; triangle T(n,k), n>=0, read by rows.

n	a(n)
0	1
1	1
2	2
3	5
4	1
5	21
6	3
7	70
8	50
9	450
10	270
11	4326
12	602
13	99
14	12
15	1
16	34944
17	5376
18	209863
19	139714
20	13303
21	1573632
22	1366016
23	530432
24	158720
25	21824925
26	15302031
27	2715243
28	74601
29	302273664
30	161855232
31	14872704
32	2854894485
33	2600075865
34	712988175
35	59062275

[1, 1, 2, 5, 1, 21, 3, 70, 50, 450, 270, 4326, 602, 99, 12, 1, 34944, 5376, 209863, 139714, 13303, 1573632, 1366016, 530432, 158720, 21824925, 15302031, 2715243, 74601, 302273664, 161855232, 14872704, 2854894485, 2600075865, 712988175, 59062275]

cp's OEIS Frontend

A242783 Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=up and 0=down; triangle T(n,k), n>=0, read by rows.

Table of values

List of values