|
|
|
|
|
Enumeration of doubly
up-down permutations
L. Carlitz |
|
Vol. 70 (1977), No. 1, 105–116
|
Abstract |
|
It is well known that A(n), the number of up-down permutations of {1,2,⋯,n} satisfies 
 In the present paper generating functions are obtained for up-down (down-up) permutations in which the peaks themselves are in an up-down configuration. In a previous paper the writer obtained generating functions for the number of up-down (and down-up) permutations counting the rises among the “peaks”. |
Mathematical Subject Classification 2000
Primary: 05A15
|
Milestones
Received: 6 July 1976
Published: 1 May 1977
|
Authors |
| L. Carlitz | |
|
