|
|
A342864
|
|
Irregular table read by rows: T(n,k) is the number of permutations in S_n that have exactly k occurrences of the pattern 1432. 0 <= k <= A100354(n).
|
|
6
|
|
|
1, 1, 2, 6, 23, 1, 103, 11, 5, 0, 1, 513, 87, 68, 17, 18, 10, 0, 4, 2, 0, 1, 2761, 625, 626, 268, 274, 138, 112, 58, 51, 44, 31, 9, 15, 8, 12, 0, 5, 0, 0, 0, 3, 15767, 4378, 5038, 2781, 3060, 1697, 1817, 1036, 964, 773, 656, 450, 379, 320, 285, 148, 237, 97, 98, 55, 68, 61, 23, 30, 30, 13, 30, 0, 0, 0, 16, 0, 10, 0, 0, 1, 0, 0, 0, 0, 2
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
COMMENTS
|
Equivalently the table for the patterns 2341, 3214, and 4123.
|
|
LINKS
|
|
|
EXAMPLE
|
Table begins:
n\k| 0 1 2 3 4 5 6
---+-------------------------------------------------------------------
0 | 1;
1 | 1;
2 | 2;
3 | 6;
4 | 23, 1;
5 | 103, 11, 5, 0, 1;
6 | 513, 87, 68, 17, 18, 10, 0, ...
7 | 2761, 625, 626, 268, 274, 138, 112, ...
8 | 15767, 4378, 5038, 2781, 3060, 1697, 1817, ...
9 | 94359, 30671, 38541, 24731, 28881, 17943, 21193, ...
10 | 586590, 216883, 289785, 205853, 251051, 170941, 211942, ...
11 | 3763290, 1552588, 2172387, 1663964, 2096207, 1535129, 1954751, ...
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,tabf
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|