|
Search: id:A018919
|
|
|
| A018919 |
|
Define the sequence L(a_0,a_1) by a_{n+2} is the greatest integer such that a_{n+2}/a_{n+1}<a_{n+1}/a_n for n >= 0 . This is L(3,9). |
|
+0
2
|
|
| 3, 9, 26, 75, 216, 622, 1791, 5157, 14849, 42756, 123111, 354484, 1020696, 2938977, 8462447, 24366645, 70160958, 202020427, 581694636, 1674922950, 4822748423, 13886550633, 39984728949, 115131438424, 331507764639, 954538564968
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
Let M denotes the 4 X 4 matrix = row by row (1,1,1,1)(1,1,1,0)(1,1,0,0)(1,0,0,0) and A(n) the vector (x(n),y(n),z(n),t(n))=M^n*A where A is the vector (1,1,1,1) then a(n)=y(n+1) - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 02 2002
|
|
REFERENCES
|
D. W. Boyd, Linear recurrence relations for some generalized Pisot sequences,Advances in Number Theory ( Kingston ON,1991) 333-340,Oxford Sci. Publ.,Oxford Univ. Press, New York,1993;.
|
|
CROSSREFS
|
Cf. A076264. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 21 2008]
Sequence in context: A000243 A076264 A123941 this_sequence A005774 A101169 A119826
Adjacent sequences: A018916 A018917 A018918 this_sequence A018920 A018921 A018922
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
R. K. Guy (rkg(AT)cpsc.ucalgary.ca)
|
|
|
Search completed in 0.002 seconds
|
