|
Search: id:A079973
|
|
|
| A079973 |
|
Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=4, I={0,3}. |
|
+0
3
|
|
| 1, 0, 1, 1, 1, 3, 2, 5, 6, 8, 14, 16, 27, 36, 51, 77, 103, 155, 216, 309, 448, 628, 912, 1292, 1849, 2652, 3769, 5413, 7713, 11031, 15778, 22513, 32222, 46004, 65766, 94004, 134283, 191992, 274291, 392041, 560287, 800615, 1144320, 1635193, 2336976
(list; graph; listen)
|
|
|
OFFSET
|
0,6
|
|
|
COMMENT
|
Number of compositions (ordered partitions) of n into elements of the set {2,3,5}.
|
|
REFERENCES
|
D. H. Lehmer, Permutations with strongly restricted displacements. Combinatorial theory and its applications, II (Proc. Colloq., Balatonfured, 1969), pp. 755-770. North-Holland, Amsterdam, 1970.
|
|
FORMULA
|
Recurrence: a(n) = a(n-2)+a(n-3)+a(n-5) G.f.: -1/(x^5+x^3+x^2-1)
|
|
CROSSREFS
|
Row sums of A059484. - N. J. A. Sloane, Jun 02 2009
Cf. A002524-A002529, A072827, A072850-A072856, A079955-A080014.
Sequence in context: A153153 A154437 A083236 this_sequence A055922 A050061 A058638
Adjacent sequences: A079970 A079971 A079972 this_sequence A079974 A079975 A079976
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Vladimir Baltic (baltic(AT)matf.bg.ac.yu), Feb 17 2003
|
|
|
Search completed in 0.002 seconds
|
