|
|
A116803
|
|
Number of permutations of length n which avoid the patterns 1234, 3421, 4231.
|
|
0
|
|
|
1, 2, 6, 21, 73, 228, 616, 1460, 3110, 6082, 11102, 19155, 31539, 49924, 76416, 113626, 164744, 233618, 324838, 443825, 596925, 791508, 1036072, 1340352, 1715434, 2173874, 2729822, 3399151, 4199591, 5150868
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
LINKS
|
|
|
FORMULA
|
G.f.: A(x) = -{(3x^7-7x^6-3x^5+17x^4-14x^3+13x^2-5x+1)x}/{(x-1)^7}
For n >= 2, a(n) = (5n^6 + 9n^5 - 205n^4 + 315n^3 + 3080n^2 - 10404n + 10080)/720. - Franklin T. Adams-Watters, Sep 16 2006
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|