|
Search: id:A079755
|
|
|
| A079755 |
|
Operation count to create all permutations of n distinct elements using the "streamlined" version of Algorithm L (lexicographic permutation generation) from Knuth's The Art of Computer Programming, Vol. 4, chapter 7.2.1.2. Sequence gives number of loop repetitions in reversal step. |
|
+0
9
|
|
| 0, 3, 23, 148, 1054, 8453, 76109, 761126, 8372436, 100469287, 1306100803, 18285411320, 274281169898, 4388498718473, 74604478214169, 1342880607855178, 25514731549248544, 510294630984971051
(list; graph; listen)
|
|
|
OFFSET
|
3,2
|
|
|
COMMENT
|
The asymptotic value for large n is 0.20975...*n! See also comment for A079884.
|
|
REFERENCES
|
See under A079884.
|
|
LINKS
|
Hugo Pfoertner, FORTRAN program for lexicogaphic permutation generation
|
|
FORMULA
|
a(3)=0, a(n) = n * a(n-1) + (n-1)*floor((n-1)/2) for n>=4.
a(n)=floor(c*n!-(n-1)/2) for n>4, where c=lim n -> infinity a(n)/n!= 0.209747301481910445... - Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 19 2003
|
|
MATHEMATICA
|
a[3] = 0; a[n_] := n*a[n - 1] + (n - 1)*Floor[(n - 1)/2]; Table[a[n], {n, 3, 21}]
|
|
PROGRAM
|
FORTRAN program available at link
|
|
CROSSREFS
|
Cf. A079884, A079750, A079751, A079752, A079753, A079754, A079756, A079885.
Sequence in context: A081413 A089950 A057835 this_sequence A006184 A164536 A037789
Adjacent sequences: A079752 A079753 A079754 this_sequence A079756 A079757 A079758
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Hugo Pfoertner (hugo(AT)pfoertner.org), Jan 16 2003
|
|
EXTENSIONS
|
More terms from Benoit Cloitre (benoit7848c(AT)orange.fr) and Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 19 2003
|
|
|
Search completed in 0.005 seconds
|
